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Finding the Fourth Proportional to 475.04, 711.30 and 410.24

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Solution

The fourth proportional to 475.04, 711.30 and 410.24 is: 614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.04 : 711.30 = 410.24 : x
  2. Step 2: Convert to fraction form
    475.04/711.30 = 410.24/x
  3. Step 3: Cross multiply
    475.04x = 711.30 × 410.24
  4. Step 4: Simplify right side
    475.04x = 291,803.71
  5. Step 5: Solve for x
    x = 291,803.71/475.04
  6. Step 6: Final answer
    x = 614.27

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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.