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Finding the Fourth Proportional to 417.60, 626.76 and 212.22

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Solution

The fourth proportional to 417.60, 626.76 and 212.22 is: 318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 626.76 = 212.22 : x
  2. Step 2: Convert to fraction form
    417.60/626.76 = 212.22/x
  3. Step 3: Cross multiply
    417.60x = 626.76 × 212.22
  4. Step 4: Simplify right side
    417.60x = 133,011.01
  5. Step 5: Solve for x
    x = 133,011.01/417.60
  6. Step 6: Final answer
    x = 318.51

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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.