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Finding the Fourth Proportional to 460.31, 635.29 and 294.71

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Solution

The fourth proportional to 460.31, 635.29 and 294.71 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.31 : 635.29 = 294.71 : x
  2. Step 2: Convert to fraction form
    460.31/635.29 = 294.71/x
  3. Step 3: Cross multiply
    460.31x = 635.29 × 294.71
  4. Step 4: Simplify right side
    460.31x = 187,222.40
  5. Step 5: Solve for x
    x = 187,222.40/460.31
  6. Step 6: Final answer
    x = 406.74

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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.