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Finding the Fourth Proportional to 411.23, 567.33 and 323.06

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Solution

The fourth proportional to 411.23, 567.33 and 323.06 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.23 : 567.33 = 323.06 : x
  2. Step 2: Convert to fraction form
    411.23/567.33 = 323.06/x
  3. Step 3: Cross multiply
    411.23x = 567.33 × 323.06
  4. Step 4: Simplify right side
    411.23x = 183,278.79
  5. Step 5: Solve for x
    x = 183,278.79/411.23
  6. Step 6: Final answer
    x = 445.69

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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.