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Finding the Fourth Proportional to 299.46, 413 and 270.66

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Solution

The fourth proportional to 299.46, 413 and 270.66 is: 373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 413 = 270.66 : x
  2. Step 2: Convert to fraction form
    299.46/413 = 270.66/x
  3. Step 3: Cross multiply
    299.46x = 413 × 270.66
  4. Step 4: Simplify right side
    299.46x = 111,782.58
  5. Step 5: Solve for x
    x = 111,782.58/299.46
  6. Step 6: Final answer
    x = 373.28

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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.