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Finding the Fourth Proportional to 803.32, 1,205.02 and 226.24

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Solution

The fourth proportional to 803.32, 1,205.02 and 226.24 is: 339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.32 : 1,205.02 = 226.24 : x
  2. Step 2: Convert to fraction form
    803.32/1,205.02 = 226.24/x
  3. Step 3: Cross multiply
    803.32x = 1,205.02 × 226.24
  4. Step 4: Simplify right side
    803.32x = 272,623.72
  5. Step 5: Solve for x
    x = 272,623.72/803.32
  6. Step 6: Final answer
    x = 339.37

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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.