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Finding the Fourth Proportional to 404.35, 606.54 and 382.48

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Solution

The fourth proportional to 404.35, 606.54 and 382.48 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.35 : 606.54 = 382.48 : x
  2. Step 2: Convert to fraction form
    404.35/606.54 = 382.48/x
  3. Step 3: Cross multiply
    404.35x = 606.54 × 382.48
  4. Step 4: Simplify right side
    404.35x = 231,989.34
  5. Step 5: Solve for x
    x = 231,989.34/404.35
  6. Step 6: Final answer
    x = 573.74

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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.