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Finding the Fourth Proportional to 382.84, 575.04 and 253.04

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Solution

The fourth proportional to 382.84, 575.04 and 253.04 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 575.04 = 253.04 : x
  2. Step 2: Convert to fraction form
    382.84/575.04 = 253.04/x
  3. Step 3: Cross multiply
    382.84x = 575.04 × 253.04
  4. Step 4: Simplify right side
    382.84x = 145,508.12
  5. Step 5: Solve for x
    x = 145,508.12/382.84
  6. Step 6: Final answer
    x = 380.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.