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Finding the Fourth Proportional to 616.29, 924.23 and 205.31

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Solution

The fourth proportional to 616.29, 924.23 and 205.31 is: 307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.29 : 924.23 = 205.31 : x
  2. Step 2: Convert to fraction form
    616.29/924.23 = 205.31/x
  3. Step 3: Cross multiply
    616.29x = 924.23 × 205.31
  4. Step 4: Simplify right side
    616.29x = 189,753.15
  5. Step 5: Solve for x
    x = 189,753.15/616.29
  6. Step 6: Final answer
    x = 307.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.