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Finding the Fourth Proportional to 404.46, 606.08 and 173.07

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Solution

The fourth proportional to 404.46, 606.08 and 173.07 is: 259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.46 : 606.08 = 173.07 : x
  2. Step 2: Convert to fraction form
    404.46/606.08 = 173.07/x
  3. Step 3: Cross multiply
    404.46x = 606.08 × 173.07
  4. Step 4: Simplify right side
    404.46x = 104,894.70
  5. Step 5: Solve for x
    x = 104,894.70/404.46
  6. Step 6: Final answer
    x = 259.35

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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.