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Finding the Fourth Proportional to 378.64, 522.78 and 294.46

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Solution

The fourth proportional to 378.64, 522.78 and 294.46 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 522.78 = 294.46 : x
  2. Step 2: Convert to fraction form
    378.64/522.78 = 294.46/x
  3. Step 3: Cross multiply
    378.64x = 522.78 × 294.46
  4. Step 4: Simplify right side
    378.64x = 153,937.80
  5. Step 5: Solve for x
    x = 153,937.80/378.64
  6. Step 6: Final answer
    x = 406.55

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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.