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Finding the Fourth Proportional to 621.31, 931.97 and 296.61

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Solution

The fourth proportional to 621.31, 931.97 and 296.61 is: 444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.31 : 931.97 = 296.61 : x
  2. Step 2: Convert to fraction form
    621.31/931.97 = 296.61/x
  3. Step 3: Cross multiply
    621.31x = 931.97 × 296.61
  4. Step 4: Simplify right side
    621.31x = 276,431.62
  5. Step 5: Solve for x
    x = 276,431.62/621.31
  6. Step 6: Final answer
    x = 444.92

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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.