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Finding the Fourth Proportional to 408.32, 608.89 and 404.67

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Solution

The fourth proportional to 408.32, 608.89 and 404.67 is: 603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 608.89 = 404.67 : x
  2. Step 2: Convert to fraction form
    408.32/608.89 = 404.67/x
  3. Step 3: Cross multiply
    408.32x = 608.89 × 404.67
  4. Step 4: Simplify right side
    408.32x = 246,398.50
  5. Step 5: Solve for x
    x = 246,398.50/408.32
  6. Step 6: Final answer
    x = 603.45

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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.