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Finding the Fourth Proportional to 417.74, 626.74 and 143.86

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Solution

The fourth proportional to 417.74, 626.74 and 143.86 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.74 : 626.74 = 143.86 : x
  2. Step 2: Convert to fraction form
    417.74/626.74 = 143.86/x
  3. Step 3: Cross multiply
    417.74x = 626.74 × 143.86
  4. Step 4: Simplify right side
    417.74x = 90,162.82
  5. Step 5: Solve for x
    x = 90,162.82/417.74
  6. Step 6: Final answer
    x = 215.83

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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.