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Finding the Fourth Proportional to 688.32, 950.31 and 478.43

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Solution

The fourth proportional to 688.32, 950.31 and 478.43 is: 660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 950.31 = 478.43 : x
  2. Step 2: Convert to fraction form
    688.32/950.31 = 478.43/x
  3. Step 3: Cross multiply
    688.32x = 950.31 × 478.43
  4. Step 4: Simplify right side
    688.32x = 454,652.06
  5. Step 5: Solve for x
    x = 454,652.06/688.32
  6. Step 6: Final answer
    x = 660.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.