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Finding the Fourth Proportional to 527.11, 791.78 and 321.77

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Solution

The fourth proportional to 527.11, 791.78 and 321.77 is: 483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.11 : 791.78 = 321.77 : x
  2. Step 2: Convert to fraction form
    527.11/791.78 = 321.77/x
  3. Step 3: Cross multiply
    527.11x = 791.78 × 321.77
  4. Step 4: Simplify right side
    527.11x = 254,771.42
  5. Step 5: Solve for x
    x = 254,771.42/527.11
  6. Step 6: Final answer
    x = 483.34

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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.