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Finding the Fourth Proportional to 527.76, 729.45 and 396.54

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Solution

The fourth proportional to 527.76, 729.45 and 396.54 is: 548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 729.45 = 396.54 : x
  2. Step 2: Convert to fraction form
    527.76/729.45 = 396.54/x
  3. Step 3: Cross multiply
    527.76x = 729.45 × 396.54
  4. Step 4: Simplify right side
    527.76x = 289,256.10
  5. Step 5: Solve for x
    x = 289,256.10/527.76
  6. Step 6: Final answer
    x = 548.08

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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.