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Finding the Fourth Proportional to 585.61, 878.14 and 342.21

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Solution

The fourth proportional to 585.61, 878.14 and 342.21 is: 513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.61 : 878.14 = 342.21 : x
  2. Step 2: Convert to fraction form
    585.61/878.14 = 342.21/x
  3. Step 3: Cross multiply
    585.61x = 878.14 × 342.21
  4. Step 4: Simplify right side
    585.61x = 300,508.29
  5. Step 5: Solve for x
    x = 300,508.29/585.61
  6. Step 6: Final answer
    x = 513.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.