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Finding the Fourth Proportional to 382.24, 526.34 and 326.86

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Solution

The fourth proportional to 382.24, 526.34 and 326.86 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 526.34 = 326.86 : x
  2. Step 2: Convert to fraction form
    382.24/526.34 = 326.86/x
  3. Step 3: Cross multiply
    382.24x = 526.34 × 326.86
  4. Step 4: Simplify right side
    382.24x = 172,039.49
  5. Step 5: Solve for x
    x = 172,039.49/382.24
  6. Step 6: Final answer
    x = 450.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.