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Finding the Fourth Proportional to 404.62, 557.40 and 321.70

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Solution

The fourth proportional to 404.62, 557.40 and 321.70 is: 443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.62 : 557.40 = 321.70 : x
  2. Step 2: Convert to fraction form
    404.62/557.40 = 321.70/x
  3. Step 3: Cross multiply
    404.62x = 557.40 × 321.70
  4. Step 4: Simplify right side
    404.62x = 179,315.58
  5. Step 5: Solve for x
    x = 179,315.58/404.62
  6. Step 6: Final answer
    x = 443.17

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