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Finding the Fourth Proportional to 497.87, 687.24 and 288.14

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Solution

The fourth proportional to 497.87, 687.24 and 288.14 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.87 : 687.24 = 288.14 : x
  2. Step 2: Convert to fraction form
    497.87/687.24 = 288.14/x
  3. Step 3: Cross multiply
    497.87x = 687.24 × 288.14
  4. Step 4: Simplify right side
    497.87x = 198,021.15
  5. Step 5: Solve for x
    x = 198,021.15/497.87
  6. Step 6: Final answer
    x = 397.74

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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.