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Finding the Fourth Proportional to 433.87, 598.71 and 268.09

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Solution

The fourth proportional to 433.87, 598.71 and 268.09 is: 369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.87 : 598.71 = 268.09 : x
  2. Step 2: Convert to fraction form
    433.87/598.71 = 268.09/x
  3. Step 3: Cross multiply
    433.87x = 598.71 × 268.09
  4. Step 4: Simplify right side
    433.87x = 160,508.16
  5. Step 5: Solve for x
    x = 160,508.16/433.87
  6. Step 6: Final answer
    x = 369.95

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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.