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Finding the Fourth Proportional to 688.42, 1,032.56 and 226.11

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Solution

The fourth proportional to 688.42, 1,032.56 and 226.11 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.42 : 1,032.56 = 226.11 : x
  2. Step 2: Convert to fraction form
    688.42/1,032.56 = 226.11/x
  3. Step 3: Cross multiply
    688.42x = 1,032.56 × 226.11
  4. Step 4: Simplify right side
    688.42x = 233,472.14
  5. Step 5: Solve for x
    x = 233,472.14/688.42
  6. Step 6: Final answer
    x = 339.14

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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.