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Finding the Fourth Proportional to 487.24, 672.23 and 298.11

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Solution

The fourth proportional to 487.24, 672.23 and 298.11 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 672.23 = 298.11 : x
  2. Step 2: Convert to fraction form
    487.24/672.23 = 298.11/x
  3. Step 3: Cross multiply
    487.24x = 672.23 × 298.11
  4. Step 4: Simplify right side
    487.24x = 200,399.52
  5. Step 5: Solve for x
    x = 200,399.52/487.24
  6. Step 6: Final answer
    x = 411.30

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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.