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Finding the Fourth Proportional to 411.80, 567.50 and 332.97

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Solution

The fourth proportional to 411.80, 567.50 and 332.97 is: 458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 567.50 = 332.97 : x
  2. Step 2: Convert to fraction form
    411.80/567.50 = 332.97/x
  3. Step 3: Cross multiply
    411.80x = 567.50 × 332.97
  4. Step 4: Simplify right side
    411.80x = 188,958.81
  5. Step 5: Solve for x
    x = 188,958.81/411.80
  6. Step 6: Final answer
    x = 458.87

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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.