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Finding the Fourth Proportional to 527.30, 790.89 and 180.58

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Solution

The fourth proportional to 527.30, 790.89 and 180.58 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.30 : 790.89 = 180.58 : x
  2. Step 2: Convert to fraction form
    527.30/790.89 = 180.58/x
  3. Step 3: Cross multiply
    527.30x = 790.89 × 180.58
  4. Step 4: Simplify right side
    527.30x = 142,818.25
  5. Step 5: Solve for x
    x = 142,818.25/527.30
  6. Step 6: Final answer
    x = 270.85

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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.