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Finding the Fourth Proportional to 518.46, 715.05 and 378.42

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Solution

The fourth proportional to 518.46, 715.05 and 378.42 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 715.05 = 378.42 : x
  2. Step 2: Convert to fraction form
    518.46/715.05 = 378.42/x
  3. Step 3: Cross multiply
    518.46x = 715.05 × 378.42
  4. Step 4: Simplify right side
    518.46x = 270,589.22
  5. Step 5: Solve for x
    x = 270,589.22/518.46
  6. Step 6: Final answer
    x = 521.91

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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.