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Finding the Fourth Proportional to 498.77, 688.27 and 277.73

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Solution

The fourth proportional to 498.77, 688.27 and 277.73 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.77 : 688.27 = 277.73 : x
  2. Step 2: Convert to fraction form
    498.77/688.27 = 277.73/x
  3. Step 3: Cross multiply
    498.77x = 688.27 × 277.73
  4. Step 4: Simplify right side
    498.77x = 191,153.23
  5. Step 5: Solve for x
    x = 191,153.23/498.77
  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.