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Finding the Fourth Proportional to 410.93, 567.06 and 233.89

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Solution

The fourth proportional to 410.93, 567.06 and 233.89 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 567.06 = 233.89 : x
  2. Step 2: Convert to fraction form
    410.93/567.06 = 233.89/x
  3. Step 3: Cross multiply
    410.93x = 567.06 × 233.89
  4. Step 4: Simplify right side
    410.93x = 132,625.66
  5. Step 5: Solve for x
    x = 132,625.66/410.93
  6. Step 6: Final answer
    x = 322.75

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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.