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Finding the Fourth Proportional to 527.24, 727.54 and 396.02

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Solution

The fourth proportional to 527.24, 727.54 and 396.02 is: 546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.24 : 727.54 = 396.02 : x
  2. Step 2: Convert to fraction form
    527.24/727.54 = 396.02/x
  3. Step 3: Cross multiply
    527.24x = 727.54 × 396.02
  4. Step 4: Simplify right side
    527.24x = 288,121.22
  5. Step 5: Solve for x
    x = 288,121.22/527.24
  6. Step 6: Final answer
    x = 546.47

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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.