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Finding the Fourth Proportional to 568.93, 853.59 and 280.17

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Solution

The fourth proportional to 568.93, 853.59 and 280.17 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.93 : 853.59 = 280.17 : x
  2. Step 2: Convert to fraction form
    568.93/853.59 = 280.17/x
  3. Step 3: Cross multiply
    568.93x = 853.59 × 280.17
  4. Step 4: Simplify right side
    568.93x = 239,150.31
  5. Step 5: Solve for x
    x = 239,150.31/568.93
  6. Step 6: Final answer
    x = 420.35

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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.