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Finding the Fourth Proportional to 527.51, 790.96 and 180.65

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Solution

The fourth proportional to 527.51, 790.96 and 180.65 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.51 : 790.96 = 180.65 : x
  2. Step 2: Convert to fraction form
    527.51/790.96 = 180.65/x
  3. Step 3: Cross multiply
    527.51x = 790.96 × 180.65
  4. Step 4: Simplify right side
    527.51x = 142,886.92
  5. Step 5: Solve for x
    x = 142,886.92/527.51
  6. Step 6: Final answer
    x = 270.87

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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.