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Finding the Fourth Proportional to 568.52, 851.14 and 385.58

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Solution

The fourth proportional to 568.52, 851.14 and 385.58 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 851.14 = 385.58 : x
  2. Step 2: Convert to fraction form
    568.52/851.14 = 385.58/x
  3. Step 3: Cross multiply
    568.52x = 851.14 × 385.58
  4. Step 4: Simplify right side
    568.52x = 328,185.17
  5. Step 5: Solve for x
    x = 328,185.17/568.52
  6. Step 6: Final answer
    x = 577.26

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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.