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Finding the Fourth Proportional to 460.87, 691.18 and 314.59

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Solution

The fourth proportional to 460.87, 691.18 and 314.59 is: 471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.87 : 691.18 = 314.59 : x
  2. Step 2: Convert to fraction form
    460.87/691.18 = 314.59/x
  3. Step 3: Cross multiply
    460.87x = 691.18 × 314.59
  4. Step 4: Simplify right side
    460.87x = 217,442.23
  5. Step 5: Solve for x
    x = 217,442.23/460.87
  6. Step 6: Final answer
    x = 471.81

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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.