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Finding the Fourth Proportional to 501.23, 691.76 and 314.73

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Solution

The fourth proportional to 501.23, 691.76 and 314.73 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.23 : 691.76 = 314.73 : x
  2. Step 2: Convert to fraction form
    501.23/691.76 = 314.73/x
  3. Step 3: Cross multiply
    501.23x = 691.76 × 314.73
  4. Step 4: Simplify right side
    501.23x = 217,717.62
  5. Step 5: Solve for x
    x = 217,717.62/501.23
  6. Step 6: Final answer
    x = 434.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.