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Finding the Fourth Proportional to 460.56, 635.05 and 424.10

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Solution

The fourth proportional to 460.56, 635.05 and 424.10 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 635.05 = 424.10 : x
  2. Step 2: Convert to fraction form
    460.56/635.05 = 424.10/x
  3. Step 3: Cross multiply
    460.56x = 635.05 × 424.10
  4. Step 4: Simplify right side
    460.56x = 269,324.71
  5. Step 5: Solve for x
    x = 269,324.71/460.56
  6. Step 6: Final answer
    x = 584.78

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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.