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Finding the Fourth Proportional to 517.46, 777.40 and 477.36

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Solution

The fourth proportional to 517.46, 777.40 and 477.36 is: 717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 777.40 = 477.36 : x
  2. Step 2: Convert to fraction form
    517.46/777.40 = 477.36/x
  3. Step 3: Cross multiply
    517.46x = 777.40 × 477.36
  4. Step 4: Simplify right side
    517.46x = 371,098.47
  5. Step 5: Solve for x
    x = 371,098.47/517.46
  6. Step 6: Final answer
    x = 717.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.