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Finding the Fourth Proportional to 417.72, 626.56 and 174.23

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Solution

The fourth proportional to 417.72, 626.56 and 174.23 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 626.56 = 174.23 : x
  2. Step 2: Convert to fraction form
    417.72/626.56 = 174.23/x
  3. Step 3: Cross multiply
    417.72x = 626.56 × 174.23
  4. Step 4: Simplify right side
    417.72x = 109,168.34
  5. Step 5: Solve for x
    x = 109,168.34/417.72
  6. Step 6: Final answer
    x = 261.35

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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.