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Finding the Fourth Proportional to 434.17, 599.43 and 268.54

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Solution

The fourth proportional to 434.17, 599.43 and 268.54 is: 370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.17 : 599.43 = 268.54 : x
  2. Step 2: Convert to fraction form
    434.17/599.43 = 268.54/x
  3. Step 3: Cross multiply
    434.17x = 599.43 × 268.54
  4. Step 4: Simplify right side
    434.17x = 160,970.93
  5. Step 5: Solve for x
    x = 160,970.93/434.17
  6. Step 6: Final answer
    x = 370.76

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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.