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Finding the Fourth Proportional to 501.12, 691.32 and 314.76

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Solution

The fourth proportional to 501.12, 691.32 and 314.76 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 691.32 = 314.76 : x
  2. Step 2: Convert to fraction form
    501.12/691.32 = 314.76/x
  3. Step 3: Cross multiply
    501.12x = 691.32 × 314.76
  4. Step 4: Simplify right side
    501.12x = 217,599.88
  5. Step 5: Solve for x
    x = 217,599.88/501.12
  6. Step 6: Final answer
    x = 434.23

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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.