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Finding the Fourth Proportional to 378.68, 523.10 and 292.46

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Solution

The fourth proportional to 378.68, 523.10 and 292.46 is: 404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 523.10 = 292.46 : x
  2. Step 2: Convert to fraction form
    378.68/523.10 = 292.46/x
  3. Step 3: Cross multiply
    378.68x = 523.10 × 292.46
  4. Step 4: Simplify right side
    378.68x = 152,983.94
  5. Step 5: Solve for x
    x = 152,983.94/378.68
  6. Step 6: Final answer
    x = 404.00

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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.