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Finding the Fourth Proportional to 299.78, 412.24 and 240.01

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Solution

The fourth proportional to 299.78, 412.24 and 240.01 is: 330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 412.24 = 240.01 : x
  2. Step 2: Convert to fraction form
    299.78/412.24 = 240.01/x
  3. Step 3: Cross multiply
    299.78x = 412.24 × 240.01
  4. Step 4: Simplify right side
    299.78x = 98,941.72
  5. Step 5: Solve for x
    x = 98,941.72/299.78
  6. Step 6: Final answer
    x = 330.05

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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.