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Finding the Fourth Proportional to 688.57, 1,032.74 and 226.30

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Solution

The fourth proportional to 688.57, 1,032.74 and 226.30 is: 339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.57 : 1,032.74 = 226.30 : x
  2. Step 2: Convert to fraction form
    688.57/1,032.74 = 226.30/x
  3. Step 3: Cross multiply
    688.57x = 1,032.74 × 226.30
  4. Step 4: Simplify right side
    688.57x = 233,709.06
  5. Step 5: Solve for x
    x = 233,709.06/688.57
  6. Step 6: Final answer
    x = 339.41

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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.