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Finding the Fourth Proportional to 588.24, 883.16 and 467.60

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Solution

The fourth proportional to 588.24, 883.16 and 467.60 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 883.16 = 467.60 : x
  2. Step 2: Convert to fraction form
    588.24/883.16 = 467.60/x
  3. Step 3: Cross multiply
    588.24x = 883.16 × 467.60
  4. Step 4: Simplify right side
    588.24x = 412,965.62
  5. Step 5: Solve for x
    x = 412,965.62/588.24
  6. Step 6: Final answer
    x = 702.04

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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.