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Finding the Fourth Proportional to 468.66, 703.25 and 225.26

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Solution

The fourth proportional to 468.66, 703.25 and 225.26 is: 338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 703.25 = 225.26 : x
  2. Step 2: Convert to fraction form
    468.66/703.25 = 225.26/x
  3. Step 3: Cross multiply
    468.66x = 703.25 × 225.26
  4. Step 4: Simplify right side
    468.66x = 158,414.10
  5. Step 5: Solve for x
    x = 158,414.10/468.66
  6. Step 6: Final answer
    x = 338.01

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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.