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Finding the Fourth Proportional to 479.34, 661.38 and 282.86

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Solution

The fourth proportional to 479.34, 661.38 and 282.86 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.34 : 661.38 = 282.86 : x
  2. Step 2: Convert to fraction form
    479.34/661.38 = 282.86/x
  3. Step 3: Cross multiply
    479.34x = 661.38 × 282.86
  4. Step 4: Simplify right side
    479.34x = 187,077.95
  5. Step 5: Solve for x
    x = 187,077.95/479.34
  6. Step 6: Final answer
    x = 390.28

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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.