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Finding the Fourth Proportional to 434.52, 599.38 and 268.60

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Solution

The fourth proportional to 434.52, 599.38 and 268.60 is: 370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.52 : 599.38 = 268.60 : x
  2. Step 2: Convert to fraction form
    434.52/599.38 = 268.60/x
  3. Step 3: Cross multiply
    434.52x = 599.38 × 268.60
  4. Step 4: Simplify right side
    434.52x = 160,993.47
  5. Step 5: Solve for x
    x = 160,993.47/434.52
  6. Step 6: Final answer
    x = 370.51

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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.