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Finding the Fourth Proportional to 434.12, 599.36 and 268.43

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Solution

The fourth proportional to 434.12, 599.36 and 268.43 is: 370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 599.36 = 268.43 : x
  2. Step 2: Convert to fraction form
    434.12/599.36 = 268.43/x
  3. Step 3: Cross multiply
    434.12x = 599.36 × 268.43
  4. Step 4: Simplify right side
    434.12x = 160,882.54
  5. Step 5: Solve for x
    x = 160,882.54/434.12
  6. Step 6: Final answer
    x = 370.60

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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.