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Finding the Fourth Proportional to 758.57, 1,138.46 and 347.90

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Solution

The fourth proportional to 758.57, 1,138.46 and 347.90 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.57 : 1,138.46 = 347.90 : x
  2. Step 2: Convert to fraction form
    758.57/1,138.46 = 347.90/x
  3. Step 3: Cross multiply
    758.57x = 1,138.46 × 347.90
  4. Step 4: Simplify right side
    758.57x = 396,062.80
  5. Step 5: Solve for x
    x = 396,062.80/758.57
  6. Step 6: Final answer
    x = 522.12

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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.