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Finding the Fourth Proportional to 404.88, 608.13 and 395.16

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Solution

The fourth proportional to 404.88, 608.13 and 395.16 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 608.13 = 395.16 : x
  2. Step 2: Convert to fraction form
    404.88/608.13 = 395.16/x
  3. Step 3: Cross multiply
    404.88x = 608.13 × 395.16
  4. Step 4: Simplify right side
    404.88x = 240,308.65
  5. Step 5: Solve for x
    x = 240,308.65/404.88
  6. Step 6: Final answer
    x = 593.53

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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.