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Finding the Fourth Proportional to 460.49, 691.88 and 408.65

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Solution

The fourth proportional to 460.49, 691.88 and 408.65 is: 613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 691.88 = 408.65 : x
  2. Step 2: Convert to fraction form
    460.49/691.88 = 408.65/x
  3. Step 3: Cross multiply
    460.49x = 691.88 × 408.65
  4. Step 4: Simplify right side
    460.49x = 282,731.26
  5. Step 5: Solve for x
    x = 282,731.26/460.49
  6. Step 6: Final answer
    x = 613.99

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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.