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Finding the Fourth Proportional to 487.07, 672.15 and 280.07

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Solution

The fourth proportional to 487.07, 672.15 and 280.07 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.07 : 672.15 = 280.07 : x
  2. Step 2: Convert to fraction form
    487.07/672.15 = 280.07/x
  3. Step 3: Cross multiply
    487.07x = 672.15 × 280.07
  4. Step 4: Simplify right side
    487.07x = 188,244.29
  5. Step 5: Solve for x
    x = 188,244.29/487.07
  6. Step 6: Final answer
    x = 386.49

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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.