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Finding the Fourth Proportional to 616.26, 924.48 and 220.91

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Solution

The fourth proportional to 616.26, 924.48 and 220.91 is: 331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 924.48 = 220.91 : x
  2. Step 2: Convert to fraction form
    616.26/924.48 = 220.91/x
  3. Step 3: Cross multiply
    616.26x = 924.48 × 220.91
  4. Step 4: Simplify right side
    616.26x = 204,227.45
  5. Step 5: Solve for x
    x = 204,227.45/616.26
  6. Step 6: Final answer
    x = 331.40

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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.