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Finding the Fourth Proportional to 479.72, 661.97 and 283.20

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Solution

The fourth proportional to 479.72, 661.97 and 283.20 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.72 : 661.97 = 283.20 : x
  2. Step 2: Convert to fraction form
    479.72/661.97 = 283.20/x
  3. Step 3: Cross multiply
    479.72x = 661.97 × 283.20
  4. Step 4: Simplify right side
    479.72x = 187,468.13
  5. Step 5: Solve for x
    x = 187,468.13/479.72
  6. Step 6: Final answer
    x = 390.78

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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.