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Finding the Fourth Proportional to 399.74, 599.03 and 284.41

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Solution

The fourth proportional to 399.74, 599.03 and 284.41 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.74 : 599.03 = 284.41 : x
  2. Step 2: Convert to fraction form
    399.74/599.03 = 284.41/x
  3. Step 3: Cross multiply
    399.74x = 599.03 × 284.41
  4. Step 4: Simplify right side
    399.74x = 170,370.12
  5. Step 5: Solve for x
    x = 170,370.12/399.74
  6. Step 6: Final answer
    x = 426.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.