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Finding the Fourth Proportional to 588.12, 878.52 and 501.04

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Solution

The fourth proportional to 588.12, 878.52 and 501.04 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 878.52 = 501.04 : x
  2. Step 2: Convert to fraction form
    588.12/878.52 = 501.04/x
  3. Step 3: Cross multiply
    588.12x = 878.52 × 501.04
  4. Step 4: Simplify right side
    588.12x = 440,173.66
  5. Step 5: Solve for x
    x = 440,173.66/588.12
  6. Step 6: Final answer
    x = 748.44

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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.