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Finding the Fourth Proportional to 426.44, 589.20 and 410.24

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Solution

The fourth proportional to 426.44, 589.20 and 410.24 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 589.20 = 410.24 : x
  2. Step 2: Convert to fraction form
    426.44/589.20 = 410.24/x
  3. Step 3: Cross multiply
    426.44x = 589.20 × 410.24
  4. Step 4: Simplify right side
    426.44x = 241,713.41
  5. Step 5: Solve for x
    x = 241,713.41/426.44
  6. Step 6: Final answer
    x = 566.82

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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.