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Finding the Fourth Proportional to 621.17, 931.77 and 296.57

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Solution

The fourth proportional to 621.17, 931.77 and 296.57 is: 444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.17 : 931.77 = 296.57 : x
  2. Step 2: Convert to fraction form
    621.17/931.77 = 296.57/x
  3. Step 3: Cross multiply
    621.17x = 931.77 × 296.57
  4. Step 4: Simplify right side
    621.17x = 276,335.03
  5. Step 5: Solve for x
    x = 276,335.03/621.17
  6. Step 6: Final answer
    x = 444.86

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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.