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Finding the Fourth Proportional to 417.78, 626.83 and 174.29

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Solution

The fourth proportional to 417.78, 626.83 and 174.29 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.78 : 626.83 = 174.29 : x
  2. Step 2: Convert to fraction form
    417.78/626.83 = 174.29/x
  3. Step 3: Cross multiply
    417.78x = 626.83 × 174.29
  4. Step 4: Simplify right side
    417.78x = 109,246.63
  5. Step 5: Solve for x
    x = 109,246.63/417.78
  6. Step 6: Final answer
    x = 261.49

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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.