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Finding the Fourth Proportional to 527.86, 791.70 and 203.20

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Solution

The fourth proportional to 527.86, 791.70 and 203.20 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.86 : 791.70 = 203.20 : x
  2. Step 2: Convert to fraction form
    527.86/791.70 = 203.20/x
  3. Step 3: Cross multiply
    527.86x = 791.70 × 203.20
  4. Step 4: Simplify right side
    527.86x = 160,873.44
  5. Step 5: Solve for x
    x = 160,873.44/527.86
  6. Step 6: Final answer
    x = 304.77

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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.