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Finding the Fourth Proportional to 498.82, 688.36 and 277.78

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Solution

The fourth proportional to 498.82, 688.36 and 277.78 is: 383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.82 : 688.36 = 277.78 : x
  2. Step 2: Convert to fraction form
    498.82/688.36 = 277.78/x
  3. Step 3: Cross multiply
    498.82x = 688.36 × 277.78
  4. Step 4: Simplify right side
    498.82x = 191,212.64
  5. Step 5: Solve for x
    x = 191,212.64/498.82
  6. Step 6: Final answer
    x = 383.33

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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.