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Finding the Fourth Proportional to 426.02, 589.07 and 406.31

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Solution

The fourth proportional to 426.02, 589.07 and 406.31 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.02 : 589.07 = 406.31 : x
  2. Step 2: Convert to fraction form
    426.02/589.07 = 406.31/x
  3. Step 3: Cross multiply
    426.02x = 589.07 × 406.31
  4. Step 4: Simplify right side
    426.02x = 239,344.47
  5. Step 5: Solve for x
    x = 239,344.47/426.02
  6. Step 6: Final answer
    x = 561.81

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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.