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Finding the Fourth Proportional to 542.75, 748.91 and 306.66

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Solution

The fourth proportional to 542.75, 748.91 and 306.66 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 748.91 = 306.66 : x
  2. Step 2: Convert to fraction form
    542.75/748.91 = 306.66/x
  3. Step 3: Cross multiply
    542.75x = 748.91 × 306.66
  4. Step 4: Simplify right side
    542.75x = 229,657.00
  5. Step 5: Solve for x
    x = 229,657.00/542.75
  6. Step 6: Final answer
    x = 423.14

Related Problems

Find fourth proportional to 271.38, 374.46 and 153.33
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Double scale
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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.