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Finding the Fourth Proportional to 588.92, 878.89 and 524.12

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Solution

The fourth proportional to 588.92, 878.89 and 524.12 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.92 : 878.89 = 524.12 : x
  2. Step 2: Convert to fraction form
    588.92/878.89 = 524.12/x
  3. Step 3: Cross multiply
    588.92x = 878.89 × 524.12
  4. Step 4: Simplify right side
    588.92x = 460,643.83
  5. Step 5: Solve for x
    x = 460,643.83/588.92
  6. Step 6: Final answer
    x = 782.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.