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Finding the Fourth Proportional to 588.65, 884.21 and 372.38

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Solution

The fourth proportional to 588.65, 884.21 and 372.38 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 884.21 = 372.38 : x
  2. Step 2: Convert to fraction form
    588.65/884.21 = 372.38/x
  3. Step 3: Cross multiply
    588.65x = 884.21 × 372.38
  4. Step 4: Simplify right side
    588.65x = 329,255.84
  5. Step 5: Solve for x
    x = 329,255.84/588.65
  6. Step 6: Final answer
    x = 559.35

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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.