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Finding the Fourth Proportional to 517.93, 714.43 and 378.21

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Solution

The fourth proportional to 517.93, 714.43 and 378.21 is: 521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.93 : 714.43 = 378.21 : x
  2. Step 2: Convert to fraction form
    517.93/714.43 = 378.21/x
  3. Step 3: Cross multiply
    517.93x = 714.43 × 378.21
  4. Step 4: Simplify right side
    517.93x = 270,204.57
  5. Step 5: Solve for x
    x = 270,204.57/517.93
  6. Step 6: Final answer
    x = 521.70

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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.