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Finding the Fourth Proportional to 418.28, 626.72 and 235.08

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Solution

The fourth proportional to 418.28, 626.72 and 235.08 is: 352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.28 : 626.72 = 235.08 : x
  2. Step 2: Convert to fraction form
    418.28/626.72 = 235.08/x
  3. Step 3: Cross multiply
    418.28x = 626.72 × 235.08
  4. Step 4: Simplify right side
    418.28x = 147,329.34
  5. Step 5: Solve for x
    x = 147,329.34/418.28
  6. Step 6: Final answer
    x = 352.23

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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.