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Finding the Fourth Proportional to 379.45, 567.99 and 242.60

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Solution

The fourth proportional to 379.45, 567.99 and 242.60 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.45 : 567.99 = 242.60 : x
  2. Step 2: Convert to fraction form
    379.45/567.99 = 242.60/x
  3. Step 3: Cross multiply
    379.45x = 567.99 × 242.60
  4. Step 4: Simplify right side
    379.45x = 137,794.37
  5. Step 5: Solve for x
    x = 137,794.37/379.45
  6. Step 6: Final answer
    x = 363.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.