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Finding the Fourth Proportional to 417.69, 626.58 and 174.17

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Solution

The fourth proportional to 417.69, 626.58 and 174.17 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 626.58 = 174.17 : x
  2. Step 2: Convert to fraction form
    417.69/626.58 = 174.17/x
  3. Step 3: Cross multiply
    417.69x = 626.58 × 174.17
  4. Step 4: Simplify right side
    417.69x = 109,133.01
  5. Step 5: Solve for x
    x = 109,133.01/417.69
  6. Step 6: Final answer
    x = 261.28

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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.