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Finding the Fourth Proportional to 417.70, 626.56 and 174.06

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Solution

The fourth proportional to 417.70, 626.56 and 174.06 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 626.56 = 174.06 : x
  2. Step 2: Convert to fraction form
    417.70/626.56 = 174.06/x
  3. Step 3: Cross multiply
    417.70x = 626.56 × 174.06
  4. Step 4: Simplify right side
    417.70x = 109,059.03
  5. Step 5: Solve for x
    x = 109,059.03/417.70
  6. Step 6: Final answer
    x = 261.09

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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.