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Finding the Fourth Proportional to 417.42, 626.22 and 143.46

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Solution

The fourth proportional to 417.42, 626.22 and 143.46 is: 215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 626.22 = 143.46 : x
  2. Step 2: Convert to fraction form
    417.42/626.22 = 143.46/x
  3. Step 3: Cross multiply
    417.42x = 626.22 × 143.46
  4. Step 4: Simplify right side
    417.42x = 89,837.52
  5. Step 5: Solve for x
    x = 89,837.52/417.42
  6. Step 6: Final answer
    x = 215.22

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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.