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Finding the Fourth Proportional to 382.11, 526.87 and 303.27

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Solution

The fourth proportional to 382.11, 526.87 and 303.27 is: 418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.11 : 526.87 = 303.27 : x
  2. Step 2: Convert to fraction form
    382.11/526.87 = 303.27/x
  3. Step 3: Cross multiply
    382.11x = 526.87 × 303.27
  4. Step 4: Simplify right side
    382.11x = 159,783.86
  5. Step 5: Solve for x
    x = 159,783.86/382.11
  6. Step 6: Final answer
    x = 418.16

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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.