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Finding the Fourth Proportional to 382.61, 527.71 and 235.12

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Solution

The fourth proportional to 382.61, 527.71 and 235.12 is: 324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 527.71 = 235.12 : x
  2. Step 2: Convert to fraction form
    382.61/527.71 = 235.12/x
  3. Step 3: Cross multiply
    382.61x = 527.71 × 235.12
  4. Step 4: Simplify right side
    382.61x = 124,075.18
  5. Step 5: Solve for x
    x = 124,075.18/382.61
  6. Step 6: Final answer
    x = 324.29

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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.