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Finding the Fourth Proportional to 616.56, 924.88 and 292.24

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Solution

The fourth proportional to 616.56, 924.88 and 292.24 is: 438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 924.88 = 292.24 : x
  2. Step 2: Convert to fraction form
    616.56/924.88 = 292.24/x
  3. Step 3: Cross multiply
    616.56x = 924.88 × 292.24
  4. Step 4: Simplify right side
    616.56x = 270,286.93
  5. Step 5: Solve for x
    x = 270,286.93/616.56
  6. Step 6: Final answer
    x = 438.38

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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.