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Finding the Fourth Proportional to 526.52, 789.64 and 179.84

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Solution

The fourth proportional to 526.52, 789.64 and 179.84 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.52 : 789.64 = 179.84 : x
  2. Step 2: Convert to fraction form
    526.52/789.64 = 179.84/x
  3. Step 3: Cross multiply
    526.52x = 789.64 × 179.84
  4. Step 4: Simplify right side
    526.52x = 142,008.86
  5. Step 5: Solve for x
    x = 142,008.86/526.52
  6. Step 6: Final answer
    x = 269.71

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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.