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Finding the Fourth Proportional to 417.36, 626.42 and 222.53

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Solution

The fourth proportional to 417.36, 626.42 and 222.53 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 626.42 = 222.53 : x
  2. Step 2: Convert to fraction form
    417.36/626.42 = 222.53/x
  3. Step 3: Cross multiply
    417.36x = 626.42 × 222.53
  4. Step 4: Simplify right side
    417.36x = 139,394.11
  5. Step 5: Solve for x
    x = 139,394.11/417.36
  6. Step 6: Final answer
    x = 333.99

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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.