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Finding the Fourth Proportional to 497.30, 686.24 and 276.24

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Solution

The fourth proportional to 497.30, 686.24 and 276.24 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 686.24 = 276.24 : x
  2. Step 2: Convert to fraction form
    497.30/686.24 = 276.24/x
  3. Step 3: Cross multiply
    497.30x = 686.24 × 276.24
  4. Step 4: Simplify right side
    497.30x = 189,570.72
  5. Step 5: Solve for x
    x = 189,570.72/497.30
  6. Step 6: Final answer
    x = 381.20

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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.