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Finding the Fourth Proportional to 411.74, 567.96 and 301.08

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Solution

The fourth proportional to 411.74, 567.96 and 301.08 is: 415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 567.96 = 301.08 : x
  2. Step 2: Convert to fraction form
    411.74/567.96 = 301.08/x
  3. Step 3: Cross multiply
    411.74x = 567.96 × 301.08
  4. Step 4: Simplify right side
    411.74x = 171,001.40
  5. Step 5: Solve for x
    x = 171,001.40/411.74
  6. Step 6: Final answer
    x = 415.32

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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.