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Finding the Fourth Proportional to 588.52, 878.18 and 527.16

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Solution

The fourth proportional to 588.52, 878.18 and 527.16 is: 786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 878.18 = 527.16 : x
  2. Step 2: Convert to fraction form
    588.52/878.18 = 527.16/x
  3. Step 3: Cross multiply
    588.52x = 878.18 × 527.16
  4. Step 4: Simplify right side
    588.52x = 462,941.37
  5. Step 5: Solve for x
    x = 462,941.37/588.52
  6. Step 6: Final answer
    x = 786.62

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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.