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Finding the Fourth Proportional to 588.92, 884.63 and 357.92

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Solution

The fourth proportional to 588.92, 884.63 and 357.92 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.92 : 884.63 = 357.92 : x
  2. Step 2: Convert to fraction form
    588.92/884.63 = 357.92/x
  3. Step 3: Cross multiply
    588.92x = 884.63 × 357.92
  4. Step 4: Simplify right side
    588.92x = 316,626.56
  5. Step 5: Solve for x
    x = 316,626.56/588.92
  6. Step 6: Final answer
    x = 537.64

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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.