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Finding the Fourth Proportional to 362.24, 498.88 and 341.12

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Solution

The fourth proportional to 362.24, 498.88 and 341.12 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 498.88 = 341.12 : x
  2. Step 2: Convert to fraction form
    362.24/498.88 = 341.12/x
  3. Step 3: Cross multiply
    362.24x = 498.88 × 341.12
  4. Step 4: Simplify right side
    362.24x = 170,177.95
  5. Step 5: Solve for x
    x = 170,177.95/362.24
  6. Step 6: Final answer
    x = 469.79

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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.