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Finding the Fourth Proportional to 410.75, 567.39 and 328.43

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Solution

The fourth proportional to 410.75, 567.39 and 328.43 is: 453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 567.39 = 328.43 : x
  2. Step 2: Convert to fraction form
    410.75/567.39 = 328.43/x
  3. Step 3: Cross multiply
    410.75x = 567.39 × 328.43
  4. Step 4: Simplify right side
    410.75x = 186,347.90
  5. Step 5: Solve for x
    x = 186,347.90/410.75
  6. Step 6: Final answer
    x = 453.68

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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.