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Finding the Fourth Proportional to 299.68, 412.65 and 266.01

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Solution

The fourth proportional to 299.68, 412.65 and 266.01 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 412.65 = 266.01 : x
  2. Step 2: Convert to fraction form
    299.68/412.65 = 266.01/x
  3. Step 3: Cross multiply
    299.68x = 412.65 × 266.01
  4. Step 4: Simplify right side
    299.68x = 109,769.03
  5. Step 5: Solve for x
    x = 109,769.03/299.68
  6. Step 6: Final answer
    x = 366.29

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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.