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Finding the Fourth Proportional to 479.91, 719.65 and 171.66

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Solution

The fourth proportional to 479.91, 719.65 and 171.66 is: 257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.91 : 719.65 = 171.66 : x
  2. Step 2: Convert to fraction form
    479.91/719.65 = 171.66/x
  3. Step 3: Cross multiply
    479.91x = 719.65 × 171.66
  4. Step 4: Simplify right side
    479.91x = 123,535.12
  5. Step 5: Solve for x
    x = 123,535.12/479.91
  6. Step 6: Final answer
    x = 257.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.