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Finding the Fourth Proportional to 404.79, 605.66 and 268.01

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Solution

The fourth proportional to 404.79, 605.66 and 268.01 is: 400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.79 : 605.66 = 268.01 : x
  2. Step 2: Convert to fraction form
    404.79/605.66 = 268.01/x
  3. Step 3: Cross multiply
    404.79x = 605.66 × 268.01
  4. Step 4: Simplify right side
    404.79x = 162,318.57
  5. Step 5: Solve for x
    x = 162,318.57/404.79
  6. Step 6: Final answer
    x = 400.99

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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.