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Finding the Fourth Proportional to 411.54, 567.99 and 324.87

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Solution

The fourth proportional to 411.54, 567.99 and 324.87 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 567.99 = 324.87 : x
  2. Step 2: Convert to fraction form
    411.54/567.99 = 324.87/x
  3. Step 3: Cross multiply
    411.54x = 567.99 × 324.87
  4. Step 4: Simplify right side
    411.54x = 184,522.91
  5. Step 5: Solve for x
    x = 184,522.91/411.54
  6. Step 6: Final answer
    x = 448.37

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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.