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Finding the Fourth Proportional to 501.32, 691.62 and 314.80

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Solution

The fourth proportional to 501.32, 691.62 and 314.80 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 691.62 = 314.80 : x
  2. Step 2: Convert to fraction form
    501.32/691.62 = 314.80/x
  3. Step 3: Cross multiply
    501.32x = 691.62 × 314.80
  4. Step 4: Simplify right side
    501.32x = 217,721.98
  5. Step 5: Solve for x
    x = 217,721.98/501.32
  6. Step 6: Final answer
    x = 434.30

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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.