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Finding the Fourth Proportional to 527.42, 727.60 and 409.44

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Solution

The fourth proportional to 527.42, 727.60 and 409.44 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 727.60 = 409.44 : x
  2. Step 2: Convert to fraction form
    527.42/727.60 = 409.44/x
  3. Step 3: Cross multiply
    527.42x = 727.60 × 409.44
  4. Step 4: Simplify right side
    527.42x = 297,908.54
  5. Step 5: Solve for x
    x = 297,908.54/527.42
  6. Step 6: Final answer
    x = 564.84

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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.