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Finding the Fourth Proportional to 377.12, 562.90 and 350.68

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Solution

The fourth proportional to 377.12, 562.90 and 350.68 is: 523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.12 : 562.90 = 350.68 : x
  2. Step 2: Convert to fraction form
    377.12/562.90 = 350.68/x
  3. Step 3: Cross multiply
    377.12x = 562.90 × 350.68
  4. Step 4: Simplify right side
    377.12x = 197,396.47
  5. Step 5: Solve for x
    x = 197,396.47/377.12
  6. Step 6: Final answer
    x = 523.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.