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Finding the Fourth Proportional to 527.11, 727.18 and 409.12

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Solution

The fourth proportional to 527.11, 727.18 and 409.12 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.11 : 727.18 = 409.12 : x
  2. Step 2: Convert to fraction form
    527.11/727.18 = 409.12/x
  3. Step 3: Cross multiply
    527.11x = 727.18 × 409.12
  4. Step 4: Simplify right side
    527.11x = 297,501.04
  5. Step 5: Solve for x
    x = 297,501.04/527.11
  6. Step 6: Final answer
    x = 564.40

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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.