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Finding the Fourth Proportional to 542.75, 749.00 and 294.07

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Solution

The fourth proportional to 542.75, 749.00 and 294.07 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 749.00 = 294.07 : x
  2. Step 2: Convert to fraction form
    542.75/749.00 = 294.07/x
  3. Step 3: Cross multiply
    542.75x = 749.00 × 294.07
  4. Step 4: Simplify right side
    542.75x = 220,259.55
  5. Step 5: Solve for x
    x = 220,259.55/542.75
  6. Step 6: Final answer
    x = 405.82

Related Problems

Find fourth proportional to 271.38, 374.50 and 147.04
Half scale
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Double scale
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Similar ratio
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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.