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Finding the Fourth Proportional to 479.26, 661.41 and 280.17

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Solution

The fourth proportional to 479.26, 661.41 and 280.17 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.26 : 661.41 = 280.17 : x
  2. Step 2: Convert to fraction form
    479.26/661.41 = 280.17/x
  3. Step 3: Cross multiply
    479.26x = 661.41 × 280.17
  4. Step 4: Simplify right side
    479.26x = 185,307.24
  5. Step 5: Solve for x
    x = 185,307.24/479.26
  6. Step 6: Final answer
    x = 386.65

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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.