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Finding the Fourth Proportional to 411.29, 567.74 and 301.64

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Solution

The fourth proportional to 411.29, 567.74 and 301.64 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 567.74 = 301.64 : x
  2. Step 2: Convert to fraction form
    411.29/567.74 = 301.64/x
  3. Step 3: Cross multiply
    411.29x = 567.74 × 301.64
  4. Step 4: Simplify right side
    411.29x = 171,248.75
  5. Step 5: Solve for x
    x = 171,248.75/411.29
  6. Step 6: Final answer
    x = 416.37

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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.