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Finding the Fourth Proportional to 568.32, 782.72 and 534.30

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Solution

The fourth proportional to 568.32, 782.72 and 534.30 is: 735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 782.72 = 534.30 : x
  2. Step 2: Convert to fraction form
    568.32/782.72 = 534.30/x
  3. Step 3: Cross multiply
    568.32x = 782.72 × 534.30
  4. Step 4: Simplify right side
    568.32x = 418,207.30
  5. Step 5: Solve for x
    x = 418,207.30/568.32
  6. Step 6: Final answer
    x = 735.87

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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.