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Finding the Fourth Proportional to 411.32, 567.66 and 323.80

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Solution

The fourth proportional to 411.32, 567.66 and 323.80 is: 446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 567.66 = 323.80 : x
  2. Step 2: Convert to fraction form
    411.32/567.66 = 323.80/x
  3. Step 3: Cross multiply
    411.32x = 567.66 × 323.80
  4. Step 4: Simplify right side
    411.32x = 183,808.31
  5. Step 5: Solve for x
    x = 183,808.31/411.32
  6. Step 6: Final answer
    x = 446.87

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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.