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Finding the Fourth Proportional to 304.41, 418.75 and 266.90

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Solution

The fourth proportional to 304.41, 418.75 and 266.90 is: 367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.41 : 418.75 = 266.90 : x
  2. Step 2: Convert to fraction form
    304.41/418.75 = 266.90/x
  3. Step 3: Cross multiply
    304.41x = 418.75 × 266.90
  4. Step 4: Simplify right side
    304.41x = 111,763.12
  5. Step 5: Solve for x
    x = 111,763.12/304.41
  6. Step 6: Final answer
    x = 367.15

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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.