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Finding the Fourth Proportional to 497.54, 686.54 and 276.46

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Solution

The fourth proportional to 497.54, 686.54 and 276.46 is: 381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 686.54 = 276.46 : x
  2. Step 2: Convert to fraction form
    497.54/686.54 = 276.46/x
  3. Step 3: Cross multiply
    497.54x = 686.54 × 276.46
  4. Step 4: Simplify right side
    497.54x = 189,799.82
  5. Step 5: Solve for x
    x = 189,799.82/497.54
  6. Step 6: Final answer
    x = 381.47

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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.