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Finding the Fourth Proportional to 426.46, 589.67 and 406.75

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Solution

The fourth proportional to 426.46, 589.67 and 406.75 is: 562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 589.67 = 406.75 : x
  2. Step 2: Convert to fraction form
    426.46/589.67 = 406.75/x
  3. Step 3: Cross multiply
    426.46x = 589.67 × 406.75
  4. Step 4: Simplify right side
    426.46x = 239,846.24
  5. Step 5: Solve for x
    x = 239,846.24/426.46
  6. Step 6: Final answer
    x = 562.41

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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.