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Finding the Fourth Proportional to 434.86, 600.10 and 238.39

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Solution

The fourth proportional to 434.86, 600.10 and 238.39 is: 328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 600.10 = 238.39 : x
  2. Step 2: Convert to fraction form
    434.86/600.10 = 238.39/x
  3. Step 3: Cross multiply
    434.86x = 600.10 × 238.39
  4. Step 4: Simplify right side
    434.86x = 143,057.84
  5. Step 5: Solve for x
    x = 143,057.84/434.86
  6. Step 6: Final answer
    x = 328.97

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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.