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Finding the Fourth Proportional to 507.38, 761.06 and 344.97

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Solution

The fourth proportional to 507.38, 761.06 and 344.97 is: 517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 761.06 = 344.97 : x
  2. Step 2: Convert to fraction form
    507.38/761.06 = 344.97/x
  3. Step 3: Cross multiply
    507.38x = 761.06 × 344.97
  4. Step 4: Simplify right side
    507.38x = 262,543.73
  5. Step 5: Solve for x
    x = 262,543.73/507.38
  6. Step 6: Final answer
    x = 517.46

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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.