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Finding the Fourth Proportional to 370.82, 511.39 and 252.74

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Solution

The fourth proportional to 370.82, 511.39 and 252.74 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.82 : 511.39 = 252.74 : x
  2. Step 2: Convert to fraction form
    370.82/511.39 = 252.74/x
  3. Step 3: Cross multiply
    370.82x = 511.39 × 252.74
  4. Step 4: Simplify right side
    370.82x = 129,248.71
  5. Step 5: Solve for x
    x = 129,248.71/370.82
  6. Step 6: Final answer
    x = 348.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.