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Finding the Fourth Proportional to 460.49, 635.54 and 294.71

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Solution

The fourth proportional to 460.49, 635.54 and 294.71 is: 406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 635.54 = 294.71 : x
  2. Step 2: Convert to fraction form
    460.49/635.54 = 294.71/x
  3. Step 3: Cross multiply
    460.49x = 635.54 × 294.71
  4. Step 4: Simplify right side
    460.49x = 187,295.34
  5. Step 5: Solve for x
    x = 187,295.34/460.49
  6. Step 6: Final answer
    x = 406.73

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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.