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Finding the Fourth Proportional to 527.31, 790.20 and 296.28

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Solution

The fourth proportional to 527.31, 790.20 and 296.28 is: 443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 790.20 = 296.28 : x
  2. Step 2: Convert to fraction form
    527.31/790.20 = 296.28/x
  3. Step 3: Cross multiply
    527.31x = 790.20 × 296.28
  4. Step 4: Simplify right side
    527.31x = 234,120.46
  5. Step 5: Solve for x
    x = 234,120.46/527.31
  6. Step 6: Final answer
    x = 443.99

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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.