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Finding the Fourth Proportional to 460.32, 635.22 and 263.76

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Solution

The fourth proportional to 460.32, 635.22 and 263.76 is: 363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 635.22 = 263.76 : x
  2. Step 2: Convert to fraction form
    460.32/635.22 = 263.76/x
  3. Step 3: Cross multiply
    460.32x = 635.22 × 263.76
  4. Step 4: Simplify right side
    460.32x = 167,545.63
  5. Step 5: Solve for x
    x = 167,545.63/460.32
  6. Step 6: Final answer
    x = 363.98

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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.