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Finding the Fourth Proportional to 417.41, 626.12 and 173.95

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Solution

The fourth proportional to 417.41, 626.12 and 173.95 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.41 : 626.12 = 173.95 : x
  2. Step 2: Convert to fraction form
    417.41/626.12 = 173.95/x
  3. Step 3: Cross multiply
    417.41x = 626.12 × 173.95
  4. Step 4: Simplify right side
    417.41x = 108,913.57
  5. Step 5: Solve for x
    x = 108,913.57/417.41
  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.