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Finding the Fourth Proportional to 477.95, 717.12 and 409.32

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Solution

The fourth proportional to 477.95, 717.12 and 409.32 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.95 : 717.12 = 409.32 : x
  2. Step 2: Convert to fraction form
    477.95/717.12 = 409.32/x
  3. Step 3: Cross multiply
    477.95x = 717.12 × 409.32
  4. Step 4: Simplify right side
    477.95x = 293,531.56
  5. Step 5: Solve for x
    x = 293,531.56/477.95
  6. Step 6: Final answer
    x = 614.15

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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.