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Finding the Fourth Proportional to 498.90, 688.35 and 296.97

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Solution

The fourth proportional to 498.90, 688.35 and 296.97 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 688.35 = 296.97 : x
  2. Step 2: Convert to fraction form
    498.90/688.35 = 296.97/x
  3. Step 3: Cross multiply
    498.90x = 688.35 × 296.97
  4. Step 4: Simplify right side
    498.90x = 204,419.30
  5. Step 5: Solve for x
    x = 204,419.30/498.90
  6. Step 6: Final answer
    x = 409.74

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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.