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Finding the Fourth Proportional to 417.41, 626.27 and 173.91

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Solution

The fourth proportional to 417.41, 626.27 and 173.91 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.41 : 626.27 = 173.91 : x
  2. Step 2: Convert to fraction form
    417.41/626.27 = 173.91/x
  3. Step 3: Cross multiply
    417.41x = 626.27 × 173.91
  4. Step 4: Simplify right side
    417.41x = 108,913.75
  5. Step 5: Solve for x
    x = 108,913.75/417.41
  6. Step 6: Final answer
    x = 260.93

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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.