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Finding the Fourth Proportional to 404.64, 603.41 and 382.41

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Solution

The fourth proportional to 404.64, 603.41 and 382.41 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 603.41 = 382.41 : x
  2. Step 2: Convert to fraction form
    404.64/603.41 = 382.41/x
  3. Step 3: Cross multiply
    404.64x = 603.41 × 382.41
  4. Step 4: Simplify right side
    404.64x = 230,750.02
  5. Step 5: Solve for x
    x = 230,750.02/404.64
  6. Step 6: Final answer
    x = 570.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.