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Finding the Fourth Proportional to 426.48, 589.51 and 392.46

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Solution

The fourth proportional to 426.48, 589.51 and 392.46 is: 542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.48 : 589.51 = 392.46 : x
  2. Step 2: Convert to fraction form
    426.48/589.51 = 392.46/x
  3. Step 3: Cross multiply
    426.48x = 589.51 × 392.46
  4. Step 4: Simplify right side
    426.48x = 231,359.09
  5. Step 5: Solve for x
    x = 231,359.09/426.48
  6. Step 6: Final answer
    x = 542.49

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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.