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Finding the Fourth Proportional to 527.76, 790.43 and 254.04

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Solution

The fourth proportional to 527.76, 790.43 and 254.04 is: 380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 790.43 = 254.04 : x
  2. Step 2: Convert to fraction form
    527.76/790.43 = 254.04/x
  3. Step 3: Cross multiply
    527.76x = 790.43 × 254.04
  4. Step 4: Simplify right side
    527.76x = 200,799.57
  5. Step 5: Solve for x
    x = 200,799.57/527.76
  6. Step 6: Final answer
    x = 380.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.