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Finding the Fourth Proportional to 585.35, 878.72 and 411.31

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Solution

The fourth proportional to 585.35, 878.72 and 411.31 is: 617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.35 : 878.72 = 411.31 : x
  2. Step 2: Convert to fraction form
    585.35/878.72 = 411.31/x
  3. Step 3: Cross multiply
    585.35x = 878.72 × 411.31
  4. Step 4: Simplify right side
    585.35x = 361,420.42
  5. Step 5: Solve for x
    x = 361,420.42/585.35
  6. Step 6: Final answer
    x = 617.44

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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.