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Finding the Fourth Proportional to 527.70, 729.23 and 396.48

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Solution

The fourth proportional to 527.70, 729.23 and 396.48 is: 547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 729.23 = 396.48 : x
  2. Step 2: Convert to fraction form
    527.70/729.23 = 396.48/x
  3. Step 3: Cross multiply
    527.70x = 729.23 × 396.48
  4. Step 4: Simplify right side
    527.70x = 289,123.13
  5. Step 5: Solve for x
    x = 289,123.13/527.70
  6. Step 6: Final answer
    x = 547.89

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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.