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Finding the Fourth Proportional to 434.14, 599.07 and 268.39

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Solution

The fourth proportional to 434.14, 599.07 and 268.39 is: 370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 599.07 = 268.39 : x
  2. Step 2: Convert to fraction form
    434.14/599.07 = 268.39/x
  3. Step 3: Cross multiply
    434.14x = 599.07 × 268.39
  4. Step 4: Simplify right side
    434.14x = 160,784.40
  5. Step 5: Solve for x
    x = 160,784.40/434.14
  6. Step 6: Final answer
    x = 370.35

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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.