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Finding the Fourth Proportional to 517.70, 714.18 and 377.75

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Solution

The fourth proportional to 517.70, 714.18 and 377.75 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 714.18 = 377.75 : x
  2. Step 2: Convert to fraction form
    517.70/714.18 = 377.75/x
  3. Step 3: Cross multiply
    517.70x = 714.18 × 377.75
  4. Step 4: Simplify right side
    517.70x = 269,781.50
  5. Step 5: Solve for x
    x = 269,781.50/517.70
  6. Step 6: Final answer
    x = 521.12

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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.