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Finding the Fourth Proportional to 417.31, 625.74 and 200.77

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Solution

The fourth proportional to 417.31, 625.74 and 200.77 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.31 : 625.74 = 200.77 : x
  2. Step 2: Convert to fraction form
    417.31/625.74 = 200.77/x
  3. Step 3: Cross multiply
    417.31x = 625.74 × 200.77
  4. Step 4: Simplify right side
    417.31x = 125,629.82
  5. Step 5: Solve for x
    x = 125,629.82/417.31
  6. Step 6: Final answer
    x = 301.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.