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Finding the Fourth Proportional to 501.27, 691.73 and 314.86

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Solution

The fourth proportional to 501.27, 691.73 and 314.86 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.27 : 691.73 = 314.86 : x
  2. Step 2: Convert to fraction form
    501.27/691.73 = 314.86/x
  3. Step 3: Cross multiply
    501.27x = 691.73 × 314.86
  4. Step 4: Simplify right side
    501.27x = 217,798.11
  5. Step 5: Solve for x
    x = 217,798.11/501.27
  6. Step 6: Final answer
    x = 434.49

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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.