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Finding the Fourth Proportional to 498.25, 687.58 and 277.20

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Solution

The fourth proportional to 498.25, 687.58 and 277.20 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.25 : 687.58 = 277.20 : x
  2. Step 2: Convert to fraction form
    498.25/687.58 = 277.20/x
  3. Step 3: Cross multiply
    498.25x = 687.58 × 277.20
  4. Step 4: Simplify right side
    498.25x = 190,595.33
  5. Step 5: Solve for x
    x = 190,595.33/498.25
  6. Step 6: Final answer
    x = 382.53

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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.