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Finding the Fourth Proportional to 565.31, 780.17 and 344.32

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Solution

The fourth proportional to 565.31, 780.17 and 344.32 is: 475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 780.17 = 344.32 : x
  2. Step 2: Convert to fraction form
    565.31/780.17 = 344.32/x
  3. Step 3: Cross multiply
    565.31x = 780.17 × 344.32
  4. Step 4: Simplify right side
    565.31x = 268,624.46
  5. Step 5: Solve for x
    x = 268,624.46/565.31
  6. Step 6: Final answer
    x = 475.18

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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.