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Finding the Fourth Proportional to 527.54, 728.48 and 396.32

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Solution

The fourth proportional to 527.54, 728.48 and 396.32 is: 547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 728.48 = 396.32 : x
  2. Step 2: Convert to fraction form
    527.54/728.48 = 396.32/x
  3. Step 3: Cross multiply
    527.54x = 728.48 × 396.32
  4. Step 4: Simplify right side
    527.54x = 288,708.54
  5. Step 5: Solve for x
    x = 288,708.54/527.54
  6. Step 6: Final answer
    x = 547.28

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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.