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Finding the Fourth Proportional to 378.34, 522.12 and 210.31

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Solution

The fourth proportional to 378.34, 522.12 and 210.31 is: 290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 522.12 = 210.31 : x
  2. Step 2: Convert to fraction form
    378.34/522.12 = 210.31/x
  3. Step 3: Cross multiply
    378.34x = 522.12 × 210.31
  4. Step 4: Simplify right side
    378.34x = 109,807.06
  5. Step 5: Solve for x
    x = 109,807.06/378.34
  6. Step 6: Final answer
    x = 290.23

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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.