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Finding the Fourth Proportional to 410.97, 567.18 and 233.94

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Solution

The fourth proportional to 410.97, 567.18 and 233.94 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 567.18 = 233.94 : x
  2. Step 2: Convert to fraction form
    410.97/567.18 = 233.94/x
  3. Step 3: Cross multiply
    410.97x = 567.18 × 233.94
  4. Step 4: Simplify right side
    410.97x = 132,686.09
  5. Step 5: Solve for x
    x = 132,686.09/410.97
  6. Step 6: Final answer
    x = 322.86

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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.