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Finding the Fourth Proportional to 417.74, 626.63 and 201.48

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Solution

The fourth proportional to 417.74, 626.63 and 201.48 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.74 : 626.63 = 201.48 : x
  2. Step 2: Convert to fraction form
    417.74/626.63 = 201.48/x
  3. Step 3: Cross multiply
    417.74x = 626.63 × 201.48
  4. Step 4: Simplify right side
    417.74x = 126,253.41
  5. Step 5: Solve for x
    x = 126,253.41/417.74
  6. Step 6: Final answer
    x = 302.23

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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.