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Finding the Fourth Proportional to 498.97, 688.77 and 333.13

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Solution

The fourth proportional to 498.97, 688.77 and 333.13 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.97 : 688.77 = 333.13 : x
  2. Step 2: Convert to fraction form
    498.97/688.77 = 333.13/x
  3. Step 3: Cross multiply
    498.97x = 688.77 × 333.13
  4. Step 4: Simplify right side
    498.97x = 229,449.95
  5. Step 5: Solve for x
    x = 229,449.95/498.97
  6. Step 6: Final answer
    x = 459.85

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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.