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Finding the Fourth Proportional to 498.69, 688.26 and 277.66

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Solution

The fourth proportional to 498.69, 688.26 and 277.66 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 688.26 = 277.66 : x
  2. Step 2: Convert to fraction form
    498.69/688.26 = 277.66/x
  3. Step 3: Cross multiply
    498.69x = 688.26 × 277.66
  4. Step 4: Simplify right side
    498.69x = 191,104.17
  5. Step 5: Solve for x
    x = 191,104.17/498.69
  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.