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Finding the Fourth Proportional to 405.11, 605.08 and 323.71

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Solution

The fourth proportional to 405.11, 605.08 and 323.71 is: 483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.11 : 605.08 = 323.71 : x
  2. Step 2: Convert to fraction form
    405.11/605.08 = 323.71/x
  3. Step 3: Cross multiply
    405.11x = 605.08 × 323.71
  4. Step 4: Simplify right side
    405.11x = 195,869.34
  5. Step 5: Solve for x
    x = 195,869.34/405.11
  6. Step 6: Final answer
    x = 483.49

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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.