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Finding the Fourth Proportional to 688.15, 1,032.17 and 226.24

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Solution

The fourth proportional to 688.15, 1,032.17 and 226.24 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.15 : 1,032.17 = 226.24 : x
  2. Step 2: Convert to fraction form
    688.15/1,032.17 = 226.24/x
  3. Step 3: Cross multiply
    688.15x = 1,032.17 × 226.24
  4. Step 4: Simplify right side
    688.15x = 233,518.14
  5. Step 5: Solve for x
    x = 233,518.14/688.15
  6. Step 6: Final answer
    x = 339.34

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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.