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Finding the Fourth Proportional to 411.64, 567.90 and 271.83

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Solution

The fourth proportional to 411.64, 567.90 and 271.83 is: 375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 567.90 = 271.83 : x
  2. Step 2: Convert to fraction form
    411.64/567.90 = 271.83/x
  3. Step 3: Cross multiply
    411.64x = 567.90 × 271.83
  4. Step 4: Simplify right side
    411.64x = 154,372.26
  5. Step 5: Solve for x
    x = 154,372.26/411.64
  6. Step 6: Final answer
    x = 375.02

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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.