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Finding the Fourth Proportional to 588.90, 884.70 and 565.95

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Solution

The fourth proportional to 588.90, 884.70 and 565.95 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 884.70 = 565.95 : x
  2. Step 2: Convert to fraction form
    588.90/884.70 = 565.95/x
  3. Step 3: Cross multiply
    588.90x = 884.70 × 565.95
  4. Step 4: Simplify right side
    588.90x = 500,695.97
  5. Step 5: Solve for x
    x = 500,695.97/588.90
  6. Step 6: Final answer
    x = 850.22

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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.