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Finding the Fourth Proportional to 385.93, 532.59 and 238.56

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Solution

The fourth proportional to 385.93, 532.59 and 238.56 is: 329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 532.59 = 238.56 : x
  2. Step 2: Convert to fraction form
    385.93/532.59 = 238.56/x
  3. Step 3: Cross multiply
    385.93x = 532.59 × 238.56
  4. Step 4: Simplify right side
    385.93x = 127,054.67
  5. Step 5: Solve for x
    x = 127,054.67/385.93
  6. Step 6: Final answer
    x = 329.22

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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.