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Finding the Fourth Proportional to 434.20, 599.13 and 268.33

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Solution

The fourth proportional to 434.20, 599.13 and 268.33 is: 370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.20 : 599.13 = 268.33 : x
  2. Step 2: Convert to fraction form
    434.20/599.13 = 268.33/x
  3. Step 3: Cross multiply
    434.20x = 599.13 × 268.33
  4. Step 4: Simplify right side
    434.20x = 160,764.55
  5. Step 5: Solve for x
    x = 160,764.55/434.20
  6. Step 6: Final answer
    x = 370.25

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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.