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Finding the Fourth Proportional to 382.12, 528.30 and 289.34

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Solution

The fourth proportional to 382.12, 528.30 and 289.34 is: 400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 528.30 = 289.34 : x
  2. Step 2: Convert to fraction form
    382.12/528.30 = 289.34/x
  3. Step 3: Cross multiply
    382.12x = 528.30 × 289.34
  4. Step 4: Simplify right side
    382.12x = 152,858.32
  5. Step 5: Solve for x
    x = 152,858.32/382.12
  6. Step 6: Final answer
    x = 400.03

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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.