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Finding the Fourth Proportional to 527.46, 791.15 and 142.71

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Solution

The fourth proportional to 527.46, 791.15 and 142.71 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.46 : 791.15 = 142.71 : x
  2. Step 2: Convert to fraction form
    527.46/791.15 = 142.71/x
  3. Step 3: Cross multiply
    527.46x = 791.15 × 142.71
  4. Step 4: Simplify right side
    527.46x = 112,904.30
  5. Step 5: Solve for x
    x = 112,904.30/527.46
  6. Step 6: Final answer
    x = 214.05

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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.