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Finding the Fourth Proportional to 616.66, 924.99 and 232.18

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Solution

The fourth proportional to 616.66, 924.99 and 232.18 is: 348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 924.99 = 232.18 : x
  2. Step 2: Convert to fraction form
    616.66/924.99 = 232.18/x
  3. Step 3: Cross multiply
    616.66x = 924.99 × 232.18
  4. Step 4: Simplify right side
    616.66x = 214,764.18
  5. Step 5: Solve for x
    x = 214,764.18/616.66
  6. Step 6: Final answer
    x = 348.27

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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.