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Finding the Fourth Proportional to 543.62, 747.96 and 478.01

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Solution

The fourth proportional to 543.62, 747.96 and 478.01 is: 657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.62 : 747.96 = 478.01 : x
  2. Step 2: Convert to fraction form
    543.62/747.96 = 478.01/x
  3. Step 3: Cross multiply
    543.62x = 747.96 × 478.01
  4. Step 4: Simplify right side
    543.62x = 357,532.36
  5. Step 5: Solve for x
    x = 357,532.36/543.62
  6. Step 6: Final answer
    x = 657.69

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