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Finding the Fourth Proportional to 479.23, 661.37 and 280.12

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Solution

The fourth proportional to 479.23, 661.37 and 280.12 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.23 : 661.37 = 280.12 : x
  2. Step 2: Convert to fraction form
    479.23/661.37 = 280.12/x
  3. Step 3: Cross multiply
    479.23x = 661.37 × 280.12
  4. Step 4: Simplify right side
    479.23x = 185,262.96
  5. Step 5: Solve for x
    x = 185,262.96/479.23
  6. Step 6: Final answer
    x = 386.58

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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.