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Finding the Fourth Proportional to 434, 599.20 and 279.02

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Solution

The fourth proportional to 434, 599.20 and 279.02 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 599.20 = 279.02 : x
  2. Step 2: Convert to fraction form
    434/599.20 = 279.02/x
  3. Step 3: Cross multiply
    434x = 599.20 × 279.02
  4. Step 4: Simplify right side
    434x = 167,188.78
  5. Step 5: Solve for x
    x = 167,188.78/434
  6. Step 6: Final answer
    x = 385.23

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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.