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Finding the Fourth Proportional to 378.27, 522.02 and 210.22

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Solution

The fourth proportional to 378.27, 522.02 and 210.22 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 522.02 = 210.22 : x
  2. Step 2: Convert to fraction form
    378.27/522.02 = 210.22/x
  3. Step 3: Cross multiply
    378.27x = 522.02 × 210.22
  4. Step 4: Simplify right side
    378.27x = 109,739.04
  5. Step 5: Solve for x
    x = 109,739.04/378.27
  6. Step 6: Final answer
    x = 290.11

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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.