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Finding the Fourth Proportional to 434.50, 599.63 and 238.02

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Solution

The fourth proportional to 434.50, 599.63 and 238.02 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 599.63 = 238.02 : x
  2. Step 2: Convert to fraction form
    434.50/599.63 = 238.02/x
  3. Step 3: Cross multiply
    434.50x = 599.63 × 238.02
  4. Step 4: Simplify right side
    434.50x = 142,723.93
  5. Step 5: Solve for x
    x = 142,723.93/434.50
  6. Step 6: Final answer
    x = 328.48

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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.