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Finding the Fourth Proportional to 385.74, 532.19 and 236.21

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Solution

The fourth proportional to 385.74, 532.19 and 236.21 is: 325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 532.19 = 236.21 : x
  2. Step 2: Convert to fraction form
    385.74/532.19 = 236.21/x
  3. Step 3: Cross multiply
    385.74x = 532.19 × 236.21
  4. Step 4: Simplify right side
    385.74x = 125,706.53
  5. Step 5: Solve for x
    x = 125,706.53/385.74
  6. Step 6: Final answer
    x = 325.89

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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.