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Finding the Fourth Proportional to 500.91, 747.75 and 478.44

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Solution

The fourth proportional to 500.91, 747.75 and 478.44 is: 714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.91 : 747.75 = 478.44 : x
  2. Step 2: Convert to fraction form
    500.91/747.75 = 478.44/x
  3. Step 3: Cross multiply
    500.91x = 747.75 × 478.44
  4. Step 4: Simplify right side
    500.91x = 357,751.12
  5. Step 5: Solve for x
    x = 357,751.12/500.91
  6. Step 6: Final answer
    x = 714.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.