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Finding the Fourth Proportional to 497.96, 687.26 and 277

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Solution

The fourth proportional to 497.96, 687.26 and 277 is: 382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.96 : 687.26 = 277 : x
  2. Step 2: Convert to fraction form
    497.96/687.26 = 277/x
  3. Step 3: Cross multiply
    497.96x = 687.26 × 277
  4. Step 4: Simplify right side
    497.96x = 190,371.02
  5. Step 5: Solve for x
    x = 190,371.02/497.96
  6. Step 6: Final answer
    x = 382.30

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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.