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Finding the Fourth Proportional to 527.16, 791.07 and 238.60

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Solution

The fourth proportional to 527.16, 791.07 and 238.60 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 791.07 = 238.60 : x
  2. Step 2: Convert to fraction form
    527.16/791.07 = 238.60/x
  3. Step 3: Cross multiply
    527.16x = 791.07 × 238.60
  4. Step 4: Simplify right side
    527.16x = 188,744.95
  5. Step 5: Solve for x
    x = 188,744.95/527.16
  6. Step 6: Final answer
    x = 358.04

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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.