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Finding the Fourth Proportional to 620.38, 931.18 and 506.17

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Solution

The fourth proportional to 620.38, 931.18 and 506.17 is: 759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.38 : 931.18 = 506.17 : x
  2. Step 2: Convert to fraction form
    620.38/931.18 = 506.17/x
  3. Step 3: Cross multiply
    620.38x = 931.18 × 506.17
  4. Step 4: Simplify right side
    620.38x = 471,335.38
  5. Step 5: Solve for x
    x = 471,335.38/620.38
  6. Step 6: Final answer
    x = 759.75

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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.