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Finding the Fourth Proportional to 417.28, 626 and 173.76

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Solution

The fourth proportional to 417.28, 626 and 173.76 is: 260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.28 : 626 = 173.76 : x
  2. Step 2: Convert to fraction form
    417.28/626 = 173.76/x
  3. Step 3: Cross multiply
    417.28x = 626 × 173.76
  4. Step 4: Simplify right side
    417.28x = 108,773.76
  5. Step 5: Solve for x
    x = 108,773.76/417.28
  6. Step 6: Final answer
    x = 260.67

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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.