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Finding the Fourth Proportional to 478.13, 717.19 and 231.04

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Solution

The fourth proportional to 478.13, 717.19 and 231.04 is: 346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 717.19 = 231.04 : x
  2. Step 2: Convert to fraction form
    478.13/717.19 = 231.04/x
  3. Step 3: Cross multiply
    478.13x = 717.19 × 231.04
  4. Step 4: Simplify right side
    478.13x = 165,698.42
  5. Step 5: Solve for x
    x = 165,698.42/478.13
  6. Step 6: Final answer
    x = 346.56

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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.