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Finding the Fourth Proportional to 460.72, 635.42 and 410.98

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Solution

The fourth proportional to 460.72, 635.42 and 410.98 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 635.42 = 410.98 : x
  2. Step 2: Convert to fraction form
    460.72/635.42 = 410.98/x
  3. Step 3: Cross multiply
    460.72x = 635.42 × 410.98
  4. Step 4: Simplify right side
    460.72x = 261,144.91
  5. Step 5: Solve for x
    x = 261,144.91/460.72
  6. Step 6: Final answer
    x = 566.82

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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.