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Finding the Fourth Proportional to 382.68, 528.20 and 242.87

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Solution

The fourth proportional to 382.68, 528.20 and 242.87 is: 335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 528.20 = 242.87 : x
  2. Step 2: Convert to fraction form
    382.68/528.20 = 242.87/x
  3. Step 3: Cross multiply
    382.68x = 528.20 × 242.87
  4. Step 4: Simplify right side
    382.68x = 128,280.08
  5. Step 5: Solve for x
    x = 128,280.08/382.68
  6. Step 6: Final answer
    x = 335.22

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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.