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Finding the Fourth Proportional to 526.87, 789.76 and 179.88

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Solution

The fourth proportional to 526.87, 789.76 and 179.88 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.87 : 789.76 = 179.88 : x
  2. Step 2: Convert to fraction form
    526.87/789.76 = 179.88/x
  3. Step 3: Cross multiply
    526.87x = 789.76 × 179.88
  4. Step 4: Simplify right side
    526.87x = 142,062.03
  5. Step 5: Solve for x
    x = 142,062.03/526.87
  6. Step 6: Final answer
    x = 269.63

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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.