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Finding the Fourth Proportional to 417.39, 626.10 and 173.77

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Solution

The fourth proportional to 417.39, 626.10 and 173.77 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.39 : 626.10 = 173.77 : x
  2. Step 2: Convert to fraction form
    417.39/626.10 = 173.77/x
  3. Step 3: Cross multiply
    417.39x = 626.10 × 173.77
  4. Step 4: Simplify right side
    417.39x = 108,797.40
  5. Step 5: Solve for x
    x = 108,797.40/417.39
  6. Step 6: Final answer
    x = 260.66

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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.