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Finding the Fourth Proportional to 498.26, 687.64 and 277.20

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Solution

The fourth proportional to 498.26, 687.64 and 277.20 is: 382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.26 : 687.64 = 277.20 : x
  2. Step 2: Convert to fraction form
    498.26/687.64 = 277.20/x
  3. Step 3: Cross multiply
    498.26x = 687.64 × 277.20
  4. Step 4: Simplify right side
    498.26x = 190,613.81
  5. Step 5: Solve for x
    x = 190,613.81/498.26
  6. Step 6: Final answer
    x = 382.56

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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.