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Finding the Fourth Proportional to 502.95, 694.14 and 378.41

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Solution

The fourth proportional to 502.95, 694.14 and 378.41 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.95 : 694.14 = 378.41 : x
  2. Step 2: Convert to fraction form
    502.95/694.14 = 378.41/x
  3. Step 3: Cross multiply
    502.95x = 694.14 × 378.41
  4. Step 4: Simplify right side
    502.95x = 262,669.52
  5. Step 5: Solve for x
    x = 262,669.52/502.95
  6. Step 6: Final answer
    x = 522.26

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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.