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Finding the Fourth Proportional to 542.75, 749.09 and 411.53

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Solution

The fourth proportional to 542.75, 749.09 and 411.53 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 749.09 = 411.53 : x
  2. Step 2: Convert to fraction form
    542.75/749.09 = 411.53/x
  3. Step 3: Cross multiply
    542.75x = 749.09 × 411.53
  4. Step 4: Simplify right side
    542.75x = 308,273.01
  5. Step 5: Solve for x
    x = 308,273.01/542.75
  6. Step 6: Final answer
    x = 567.98

Related Problems

Find fourth proportional to 271.38, 374.55 and 205.77
Half scale
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Double scale
Find fourth proportional to 543.75, 750.47 and 412.53
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.