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Finding the Fourth Proportional to 460.46, 634.36 and 362.04

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Solution

The fourth proportional to 460.46, 634.36 and 362.04 is: 498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 634.36 = 362.04 : x
  2. Step 2: Convert to fraction form
    460.46/634.36 = 362.04/x
  3. Step 3: Cross multiply
    460.46x = 634.36 × 362.04
  4. Step 4: Simplify right side
    460.46x = 229,663.69
  5. Step 5: Solve for x
    x = 229,663.69/460.46
  6. Step 6: Final answer
    x = 498.77

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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.