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Finding the Fourth Proportional to 426.27, 589.41 and 406.56

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Solution

The fourth proportional to 426.27, 589.41 and 406.56 is: 562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 589.41 = 406.56 : x
  2. Step 2: Convert to fraction form
    426.27/589.41 = 406.56/x
  3. Step 3: Cross multiply
    426.27x = 589.41 × 406.56
  4. Step 4: Simplify right side
    426.27x = 239,630.53
  5. Step 5: Solve for x
    x = 239,630.53/426.27
  6. Step 6: Final answer
    x = 562.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.