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Finding the Fourth Proportional to 688.21, 1,032.14 and 225.90

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Solution

The fourth proportional to 688.21, 1,032.14 and 225.90 is: 338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.21 : 1,032.14 = 225.90 : x
  2. Step 2: Convert to fraction form
    688.21/1,032.14 = 225.90/x
  3. Step 3: Cross multiply
    688.21x = 1,032.14 × 225.90
  4. Step 4: Simplify right side
    688.21x = 233,160.99
  5. Step 5: Solve for x
    x = 233,160.99/688.21
  6. Step 6: Final answer
    x = 338.79

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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.