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Finding the Fourth Proportional to 688.23, 1,032.21 and 226.04

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Solution

The fourth proportional to 688.23, 1,032.21 and 226.04 is: 339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 1,032.21 = 226.04 : x
  2. Step 2: Convert to fraction form
    688.23/1,032.21 = 226.04/x
  3. Step 3: Cross multiply
    688.23x = 1,032.21 × 226.04
  4. Step 4: Simplify right side
    688.23x = 233,315.59
  5. Step 5: Solve for x
    x = 233,315.59/688.23
  6. Step 6: Final answer
    x = 339.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.