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Finding the Fourth Proportional to 498.42, 687.80 and 277.37

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Solution

The fourth proportional to 498.42, 687.80 and 277.37 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 687.80 = 277.37 : x
  2. Step 2: Convert to fraction form
    498.42/687.80 = 277.37/x
  3. Step 3: Cross multiply
    498.42x = 687.80 × 277.37
  4. Step 4: Simplify right side
    498.42x = 190,773.36
  5. Step 5: Solve for x
    x = 190,773.36/498.42
  6. Step 6: Final answer
    x = 382.76

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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.