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Finding the Fourth Proportional to 487.80, 674.46 and 426.32

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Solution

The fourth proportional to 487.80, 674.46 and 426.32 is: 589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.80 : 674.46 = 426.32 : x
  2. Step 2: Convert to fraction form
    487.80/674.46 = 426.32/x
  3. Step 3: Cross multiply
    487.80x = 674.46 × 426.32
  4. Step 4: Simplify right side
    487.80x = 287,535.79
  5. Step 5: Solve for x
    x = 287,535.79/487.80
  6. Step 6: Final answer
    x = 589.45

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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.