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Finding the Fourth Proportional to 382.13, 526.79 and 271.41

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Solution

The fourth proportional to 382.13, 526.79 and 271.41 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 526.79 = 271.41 : x
  2. Step 2: Convert to fraction form
    382.13/526.79 = 271.41/x
  3. Step 3: Cross multiply
    382.13x = 526.79 × 271.41
  4. Step 4: Simplify right side
    382.13x = 142,976.07
  5. Step 5: Solve for x
    x = 142,976.07/382.13
  6. Step 6: Final answer
    x = 374.16

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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.