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Finding the Fourth Proportional to 418.23, 626.64 and 296.25

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Solution

The fourth proportional to 418.23, 626.64 and 296.25 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.23 : 626.64 = 296.25 : x
  2. Step 2: Convert to fraction form
    418.23/626.64 = 296.25/x
  3. Step 3: Cross multiply
    418.23x = 626.64 × 296.25
  4. Step 4: Simplify right side
    418.23x = 185,642.10
  5. Step 5: Solve for x
    x = 185,642.10/418.23
  6. Step 6: Final answer
    x = 443.88

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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.