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Finding the Fourth Proportional to 404.37, 605.48 and 380.03

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Solution

The fourth proportional to 404.37, 605.48 and 380.03 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.37 : 605.48 = 380.03 : x
  2. Step 2: Convert to fraction form
    404.37/605.48 = 380.03/x
  3. Step 3: Cross multiply
    404.37x = 605.48 × 380.03
  4. Step 4: Simplify right side
    404.37x = 230,095.64
  5. Step 5: Solve for x
    x = 230,095.64/404.37
  6. Step 6: Final answer
    x = 569.02

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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.