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Finding the Fourth Proportional to 478.43, 717.75 and 189.89

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Solution

The fourth proportional to 478.43, 717.75 and 189.89 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 717.75 = 189.89 : x
  2. Step 2: Convert to fraction form
    478.43/717.75 = 189.89/x
  3. Step 3: Cross multiply
    478.43x = 717.75 × 189.89
  4. Step 4: Simplify right side
    478.43x = 136,293.55
  5. Step 5: Solve for x
    x = 136,293.55/478.43
  6. Step 6: Final answer
    x = 284.88

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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.