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Finding the Fourth Proportional to 475.35, 711.20 and 354.15

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Solution

The fourth proportional to 475.35, 711.20 and 354.15 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.35 : 711.20 = 354.15 : x
  2. Step 2: Convert to fraction form
    475.35/711.20 = 354.15/x
  3. Step 3: Cross multiply
    475.35x = 711.20 × 354.15
  4. Step 4: Simplify right side
    475.35x = 251,869.71
  5. Step 5: Solve for x
    x = 251,869.71/475.35
  6. Step 6: Final answer
    x = 529.86

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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.