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Finding the Fourth Proportional to 498.74, 688.25 and 277.69

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Solution

The fourth proportional to 498.74, 688.25 and 277.69 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 688.25 = 277.69 : x
  2. Step 2: Convert to fraction form
    498.74/688.25 = 277.69/x
  3. Step 3: Cross multiply
    498.74x = 688.25 × 277.69
  4. Step 4: Simplify right side
    498.74x = 191,120.14
  5. Step 5: Solve for x
    x = 191,120.14/498.74
  6. Step 6: Final answer
    x = 383.21

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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.