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Finding the Fourth Proportional to 407.68, 611.76 and 225.28

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Solution

The fourth proportional to 407.68, 611.76 and 225.28 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 611.76 = 225.28 : x
  2. Step 2: Convert to fraction form
    407.68/611.76 = 225.28/x
  3. Step 3: Cross multiply
    407.68x = 611.76 × 225.28
  4. Step 4: Simplify right side
    407.68x = 137,817.29
  5. Step 5: Solve for x
    x = 137,817.29/407.68
  6. Step 6: Final answer
    x = 338.05

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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.