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Finding the Fourth Proportional to 518.04, 714.78 and 378.22

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Solution

The fourth proportional to 518.04, 714.78 and 378.22 is: 521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 714.78 = 378.22 : x
  2. Step 2: Convert to fraction form
    518.04/714.78 = 378.22/x
  3. Step 3: Cross multiply
    518.04x = 714.78 × 378.22
  4. Step 4: Simplify right side
    518.04x = 270,344.09
  5. Step 5: Solve for x
    x = 270,344.09/518.04
  6. Step 6: Final answer
    x = 521.86

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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.