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Finding the Fourth Proportional to 487.06, 672.15 and 280.06

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Solution

The fourth proportional to 487.06, 672.15 and 280.06 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.06 : 672.15 = 280.06 : x
  2. Step 2: Convert to fraction form
    487.06/672.15 = 280.06/x
  3. Step 3: Cross multiply
    487.06x = 672.15 × 280.06
  4. Step 4: Simplify right side
    487.06x = 188,242.33
  5. Step 5: Solve for x
    x = 188,242.33/487.06
  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.