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Finding the Fourth Proportional to 526.37, 789.67 and 179.69

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Solution

The fourth proportional to 526.37, 789.67 and 179.69 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.37 : 789.67 = 179.69 : x
  2. Step 2: Convert to fraction form
    526.37/789.67 = 179.69/x
  3. Step 3: Cross multiply
    526.37x = 789.67 × 179.69
  4. Step 4: Simplify right side
    526.37x = 141,895.04
  5. Step 5: Solve for x
    x = 141,895.04/526.37
  6. Step 6: Final answer
    x = 269.57

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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.