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Finding the Fourth Proportional to 382.86, 572.24 and 352.11

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Solution

The fourth proportional to 382.86, 572.24 and 352.11 is: 526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 572.24 = 352.11 : x
  2. Step 2: Convert to fraction form
    382.86/572.24 = 352.11/x
  3. Step 3: Cross multiply
    382.86x = 572.24 × 352.11
  4. Step 4: Simplify right side
    382.86x = 201,489.67
  5. Step 5: Solve for x
    x = 201,489.67/382.86
  6. Step 6: Final answer
    x = 526.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.