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Finding the Fourth Proportional to 337.46, 507.11 and 175.28

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Solution

The fourth proportional to 337.46, 507.11 and 175.28 is: 263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 507.11 = 175.28 : x
  2. Step 2: Convert to fraction form
    337.46/507.11 = 175.28/x
  3. Step 3: Cross multiply
    337.46x = 507.11 × 175.28
  4. Step 4: Simplify right side
    337.46x = 88,882.83
  5. Step 5: Solve for x
    x = 88,882.83/337.46
  6. Step 6: Final answer
    x = 263.39

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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.