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Finding the Fourth Proportional to 417.72, 626.48 and 174.11

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Solution

The fourth proportional to 417.72, 626.48 and 174.11 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 626.48 = 174.11 : x
  2. Step 2: Convert to fraction form
    417.72/626.48 = 174.11/x
  3. Step 3: Cross multiply
    417.72x = 626.48 × 174.11
  4. Step 4: Simplify right side
    417.72x = 109,075.56
  5. Step 5: Solve for x
    x = 109,075.56/417.72
  6. Step 6: Final answer
    x = 261.12

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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.