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Finding the Fourth Proportional to 404.24, 605.88 and 160.64

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Solution

The fourth proportional to 404.24, 605.88 and 160.64 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 605.88 = 160.64 : x
  2. Step 2: Convert to fraction form
    404.24/605.88 = 160.64/x
  3. Step 3: Cross multiply
    404.24x = 605.88 × 160.64
  4. Step 4: Simplify right side
    404.24x = 97,328.56
  5. Step 5: Solve for x
    x = 97,328.56/404.24
  6. Step 6: Final answer
    x = 240.77

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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.