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Finding the Fourth Proportional to 616.52, 924.62 and 205.66

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Solution

The fourth proportional to 616.52, 924.62 and 205.66 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 924.62 = 205.66 : x
  2. Step 2: Convert to fraction form
    616.52/924.62 = 205.66/x
  3. Step 3: Cross multiply
    616.52x = 924.62 × 205.66
  4. Step 4: Simplify right side
    616.52x = 190,157.35
  5. Step 5: Solve for x
    x = 190,157.35/616.52
  6. Step 6: Final answer
    x = 308.44

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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.