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Finding the Fourth Proportional to 487.26, 672.38 and 280.26

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Solution

The fourth proportional to 487.26, 672.38 and 280.26 is: 386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.26 : 672.38 = 280.26 : x
  2. Step 2: Convert to fraction form
    487.26/672.38 = 280.26/x
  3. Step 3: Cross multiply
    487.26x = 672.38 × 280.26
  4. Step 4: Simplify right side
    487.26x = 188,441.22
  5. Step 5: Solve for x
    x = 188,441.22/487.26
  6. Step 6: Final answer
    x = 386.74

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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.