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Finding the Fourth Proportional to 616.66, 924.81 and 462.94

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Solution

The fourth proportional to 616.66, 924.81 and 462.94 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 924.81 = 462.94 : x
  2. Step 2: Convert to fraction form
    616.66/924.81 = 462.94/x
  3. Step 3: Cross multiply
    616.66x = 924.81 × 462.94
  4. Step 4: Simplify right side
    616.66x = 428,131.54
  5. Step 5: Solve for x
    x = 428,131.54/616.66
  6. Step 6: Final answer
    x = 694.27

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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.