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Finding the Fourth Proportional to 498.78, 688.26 and 277.74

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Solution

The fourth proportional to 498.78, 688.26 and 277.74 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 688.26 = 277.74 : x
  2. Step 2: Convert to fraction form
    498.78/688.26 = 277.74/x
  3. Step 3: Cross multiply
    498.78x = 688.26 × 277.74
  4. Step 4: Simplify right side
    498.78x = 191,157.33
  5. Step 5: Solve for x
    x = 191,157.33/498.78
  6. Step 6: Final answer
    x = 383.25

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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.