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Finding the Fourth Proportional to 518.45, 715.21 and 378.35

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Solution

The fourth proportional to 518.45, 715.21 and 378.35 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.45 : 715.21 = 378.35 : x
  2. Step 2: Convert to fraction form
    518.45/715.21 = 378.35/x
  3. Step 3: Cross multiply
    518.45x = 715.21 × 378.35
  4. Step 4: Simplify right side
    518.45x = 270,599.70
  5. Step 5: Solve for x
    x = 270,599.70/518.45
  6. Step 6: Final answer
    x = 521.94

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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.