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Finding the Fourth Proportional to 382.03, 527.42 and 288.04

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Solution

The fourth proportional to 382.03, 527.42 and 288.04 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.03 : 527.42 = 288.04 : x
  2. Step 2: Convert to fraction form
    382.03/527.42 = 288.04/x
  3. Step 3: Cross multiply
    382.03x = 527.42 × 288.04
  4. Step 4: Simplify right side
    382.03x = 151,914.64
  5. Step 5: Solve for x
    x = 151,914.64/382.03
  6. Step 6: Final answer
    x = 397.65

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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.