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Finding the Fourth Proportional to 497.26, 686.15 and 276.19

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Solution

The fourth proportional to 497.26, 686.15 and 276.19 is: 381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 686.15 = 276.19 : x
  2. Step 2: Convert to fraction form
    497.26/686.15 = 276.19/x
  3. Step 3: Cross multiply
    497.26x = 686.15 × 276.19
  4. Step 4: Simplify right side
    497.26x = 189,507.77
  5. Step 5: Solve for x
    x = 189,507.77/497.26
  6. Step 6: Final answer
    x = 381.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.