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Finding the Fourth Proportional to 434.62, 599.70 and 268.89

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Solution

The fourth proportional to 434.62, 599.70 and 268.89 is: 371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.62 : 599.70 = 268.89 : x
  2. Step 2: Convert to fraction form
    434.62/599.70 = 268.89/x
  3. Step 3: Cross multiply
    434.62x = 599.70 × 268.89
  4. Step 4: Simplify right side
    434.62x = 161,253.33
  5. Step 5: Solve for x
    x = 161,253.33/434.62
  6. Step 6: Final answer
    x = 371.02

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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.