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Finding the Fourth Proportional to 411.85, 567.65 and 376.97

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Solution

The fourth proportional to 411.85, 567.65 and 376.97 is: 519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.85 : 567.65 = 376.97 : x
  2. Step 2: Convert to fraction form
    411.85/567.65 = 376.97/x
  3. Step 3: Cross multiply
    411.85x = 567.65 × 376.97
  4. Step 4: Simplify right side
    411.85x = 213,985.14
  5. Step 5: Solve for x
    x = 213,985.14/411.85
  6. Step 6: Final answer
    x = 519.58

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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.