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Finding the Fourth Proportional to 527.17, 727.75 and 408.87

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Solution

The fourth proportional to 527.17, 727.75 and 408.87 is: 564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.17 : 727.75 = 408.87 : x
  2. Step 2: Convert to fraction form
    527.17/727.75 = 408.87/x
  3. Step 3: Cross multiply
    527.17x = 727.75 × 408.87
  4. Step 4: Simplify right side
    527.17x = 297,555.14
  5. Step 5: Solve for x
    x = 297,555.14/527.17
  6. Step 6: Final answer
    x = 564.44

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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.