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Finding the Fourth Proportional to 404.06, 557.68 and 305.65

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Solution

The fourth proportional to 404.06, 557.68 and 305.65 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 557.68 = 305.65 : x
  2. Step 2: Convert to fraction form
    404.06/557.68 = 305.65/x
  3. Step 3: Cross multiply
    404.06x = 557.68 × 305.65
  4. Step 4: Simplify right side
    404.06x = 170,452.73
  5. Step 5: Solve for x
    x = 170,452.73/404.06
  6. Step 6: Final answer
    x = 421.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.