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Finding the Fourth Proportional to 527.22, 790.75 and 180.48

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Solution

The fourth proportional to 527.22, 790.75 and 180.48 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.22 : 790.75 = 180.48 : x
  2. Step 2: Convert to fraction form
    527.22/790.75 = 180.48/x
  3. Step 3: Cross multiply
    527.22x = 790.75 × 180.48
  4. Step 4: Simplify right side
    527.22x = 142,711.02
  5. Step 5: Solve for x
    x = 142,711.02/527.22
  6. Step 6: Final answer
    x = 270.69

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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.