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Finding the Fourth Proportional to 616.28, 924.39 and 205.25

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Solution

The fourth proportional to 616.28, 924.39 and 205.25 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 924.39 = 205.25 : x
  2. Step 2: Convert to fraction form
    616.28/924.39 = 205.25/x
  3. Step 3: Cross multiply
    616.28x = 924.39 × 205.25
  4. Step 4: Simplify right side
    616.28x = 189,731.05
  5. Step 5: Solve for x
    x = 189,731.05/616.28
  6. Step 6: Final answer
    x = 307.87

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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.