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Finding the Fourth Proportional to 527.54, 728.25 and 306.41

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Solution

The fourth proportional to 527.54, 728.25 and 306.41 is: 422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 728.25 = 306.41 : x
  2. Step 2: Convert to fraction form
    527.54/728.25 = 306.41/x
  3. Step 3: Cross multiply
    527.54x = 728.25 × 306.41
  4. Step 4: Simplify right side
    527.54x = 223,143.08
  5. Step 5: Solve for x
    x = 223,143.08/527.54
  6. Step 6: Final answer
    x = 422.99

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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.