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Finding the Fourth Proportional to 378.48, 522.30 and 210.43

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Solution

The fourth proportional to 378.48, 522.30 and 210.43 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 522.30 = 210.43 : x
  2. Step 2: Convert to fraction form
    378.48/522.30 = 210.43/x
  3. Step 3: Cross multiply
    378.48x = 522.30 × 210.43
  4. Step 4: Simplify right side
    378.48x = 109,903.93
  5. Step 5: Solve for x
    x = 109,903.93/378.48
  6. Step 6: Final answer
    x = 290.39

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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.