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Finding the Fourth Proportional to 405.36, 563.14 and 401.56

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Solution

The fourth proportional to 405.36, 563.14 and 401.56 is: 557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 563.14 = 401.56 : x
  2. Step 2: Convert to fraction form
    405.36/563.14 = 401.56/x
  3. Step 3: Cross multiply
    405.36x = 563.14 × 401.56
  4. Step 4: Simplify right side
    405.36x = 226,135.50
  5. Step 5: Solve for x
    x = 226,135.50/405.36
  6. Step 6: Final answer
    x = 557.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.