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Finding the Fourth Proportional to 488.24, 731.84 and 214.24

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Solution

The fourth proportional to 488.24, 731.84 and 214.24 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 731.84 = 214.24 : x
  2. Step 2: Convert to fraction form
    488.24/731.84 = 214.24/x
  3. Step 3: Cross multiply
    488.24x = 731.84 × 214.24
  4. Step 4: Simplify right side
    488.24x = 156,789.40
  5. Step 5: Solve for x
    x = 156,789.40/488.24
  6. Step 6: Final answer
    x = 321.13

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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.