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Finding the Fourth Proportional to 637.12, 953.82 and 343.90

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Solution

The fourth proportional to 637.12, 953.82 and 343.90 is: 514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.12 : 953.82 = 343.90 : x
  2. Step 2: Convert to fraction form
    637.12/953.82 = 343.90/x
  3. Step 3: Cross multiply
    637.12x = 953.82 × 343.90
  4. Step 4: Simplify right side
    637.12x = 328,018.70
  5. Step 5: Solve for x
    x = 328,018.70/637.12
  6. Step 6: Final answer
    x = 514.85

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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.