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Finding the Fourth Proportional to 497.76, 686.96 and 276.74

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Solution

The fourth proportional to 497.76, 686.96 and 276.74 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 686.96 = 276.74 : x
  2. Step 2: Convert to fraction form
    497.76/686.96 = 276.74/x
  3. Step 3: Cross multiply
    497.76x = 686.96 × 276.74
  4. Step 4: Simplify right side
    497.76x = 190,109.31
  5. Step 5: Solve for x
    x = 190,109.31/497.76
  6. Step 6: Final answer
    x = 381.93

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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.