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Finding the Fourth Proportional to 411.62, 567.48 and 341.42

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Solution

The fourth proportional to 411.62, 567.48 and 341.42 is: 470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 567.48 = 341.42 : x
  2. Step 2: Convert to fraction form
    411.62/567.48 = 341.42/x
  3. Step 3: Cross multiply
    411.62x = 567.48 × 341.42
  4. Step 4: Simplify right side
    411.62x = 193,749.02
  5. Step 5: Solve for x
    x = 193,749.02/411.62
  6. Step 6: Final answer
    x = 470.70

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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.