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Finding the Fourth Proportional to 498.78, 688.28 and 288.96

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Solution

The fourth proportional to 498.78, 688.28 and 288.96 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 688.28 = 288.96 : x
  2. Step 2: Convert to fraction form
    498.78/688.28 = 288.96/x
  3. Step 3: Cross multiply
    498.78x = 688.28 × 288.96
  4. Step 4: Simplify right side
    498.78x = 198,885.39
  5. Step 5: Solve for x
    x = 198,885.39/498.78
  6. Step 6: Final answer
    x = 398.74

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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.