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Finding the Fourth Proportional to 411.89, 567.45 and 287.33

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Solution

The fourth proportional to 411.89, 567.45 and 287.33 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.89 : 567.45 = 287.33 : x
  2. Step 2: Convert to fraction form
    411.89/567.45 = 287.33/x
  3. Step 3: Cross multiply
    411.89x = 567.45 × 287.33
  4. Step 4: Simplify right side
    411.89x = 163,045.41
  5. Step 5: Solve for x
    x = 163,045.41/411.89
  6. Step 6: Final answer
    x = 395.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.