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Finding the Fourth Proportional to 337.46, 507.31 and 277.04

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Solution

The fourth proportional to 337.46, 507.31 and 277.04 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 507.31 = 277.04 : x
  2. Step 2: Convert to fraction form
    337.46/507.31 = 277.04/x
  3. Step 3: Cross multiply
    337.46x = 507.31 × 277.04
  4. Step 4: Simplify right side
    337.46x = 140,545.16
  5. Step 5: Solve for x
    x = 140,545.16/337.46
  6. Step 6: Final answer
    x = 416.48

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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.