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Finding the Fourth Proportional to 758.31, 1,137.20 and 346.70

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Solution

The fourth proportional to 758.31, 1,137.20 and 346.70 is: 519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.31 : 1,137.20 = 346.70 : x
  2. Step 2: Convert to fraction form
    758.31/1,137.20 = 346.70/x
  3. Step 3: Cross multiply
    758.31x = 1,137.20 × 346.70
  4. Step 4: Simplify right side
    758.31x = 394,259.82
  5. Step 5: Solve for x
    x = 394,259.82/758.31
  6. Step 6: Final answer
    x = 519.92

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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.