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Finding the Fourth Proportional to 527.82, 728.33 and 306.73

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Solution

The fourth proportional to 527.82, 728.33 and 306.73 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 728.33 = 306.73 : x
  2. Step 2: Convert to fraction form
    527.82/728.33 = 306.73/x
  3. Step 3: Cross multiply
    527.82x = 728.33 × 306.73
  4. Step 4: Simplify right side
    527.82x = 223,400.66
  5. Step 5: Solve for x
    x = 223,400.66/527.82
  6. Step 6: Final answer
    x = 423.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.