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Finding the Fourth Proportional to 460.98, 635.96 and 295.14

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Solution

The fourth proportional to 460.98, 635.96 and 295.14 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.98 : 635.96 = 295.14 : x
  2. Step 2: Convert to fraction form
    460.98/635.96 = 295.14/x
  3. Step 3: Cross multiply
    460.98x = 635.96 × 295.14
  4. Step 4: Simplify right side
    460.98x = 187,695.76
  5. Step 5: Solve for x
    x = 187,695.76/460.98
  6. Step 6: Final answer
    x = 407.17

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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.