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Finding the Fourth Proportional to 498.14, 687.37 and 277.05

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Solution

The fourth proportional to 498.14, 687.37 and 277.05 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 687.37 = 277.05 : x
  2. Step 2: Convert to fraction form
    498.14/687.37 = 277.05/x
  3. Step 3: Cross multiply
    498.14x = 687.37 × 277.05
  4. Step 4: Simplify right side
    498.14x = 190,435.86
  5. Step 5: Solve for x
    x = 190,435.86/498.14
  6. Step 6: Final answer
    x = 382.29

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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.