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Finding the Fourth Proportional to 479.28, 661.44 and 282.84

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Solution

The fourth proportional to 479.28, 661.44 and 282.84 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.28 : 661.44 = 282.84 : x
  2. Step 2: Convert to fraction form
    479.28/661.44 = 282.84/x
  3. Step 3: Cross multiply
    479.28x = 661.44 × 282.84
  4. Step 4: Simplify right side
    479.28x = 187,081.69
  5. Step 5: Solve for x
    x = 187,081.69/479.28
  6. Step 6: Final answer
    x = 390.34

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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.