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Finding the Fourth Proportional to 479.23, 661.17 and 380.77

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Solution

The fourth proportional to 479.23, 661.17 and 380.77 is: 525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.23 : 661.17 = 380.77 : x
  2. Step 2: Convert to fraction form
    479.23/661.17 = 380.77/x
  3. Step 3: Cross multiply
    479.23x = 661.17 × 380.77
  4. Step 4: Simplify right side
    479.23x = 251,753.70
  5. Step 5: Solve for x
    x = 251,753.70/479.23
  6. Step 6: Final answer
    x = 525.33

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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.