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Finding the Fourth Proportional to 460.90, 691.85 and 409.87

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Solution

The fourth proportional to 460.90, 691.85 and 409.87 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 691.85 = 409.87 : x
  2. Step 2: Convert to fraction form
    460.90/691.85 = 409.87/x
  3. Step 3: Cross multiply
    460.90x = 691.85 × 409.87
  4. Step 4: Simplify right side
    460.90x = 283,568.56
  5. Step 5: Solve for x
    x = 283,568.56/460.90
  6. Step 6: Final answer
    x = 615.25

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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.