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Finding the Fourth Proportional to 527.42, 790.94 and 180.66

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Solution

The fourth proportional to 527.42, 790.94 and 180.66 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 790.94 = 180.66 : x
  2. Step 2: Convert to fraction form
    527.42/790.94 = 180.66/x
  3. Step 3: Cross multiply
    527.42x = 790.94 × 180.66
  4. Step 4: Simplify right side
    527.42x = 142,891.22
  5. Step 5: Solve for x
    x = 142,891.22/527.42
  6. Step 6: Final answer
    x = 270.92

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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.