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Finding the Fourth Proportional to 662.34, 992.84 and 229.12

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Solution

The fourth proportional to 662.34, 992.84 and 229.12 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.34 : 992.84 = 229.12 : x
  2. Step 2: Convert to fraction form
    662.34/992.84 = 229.12/x
  3. Step 3: Cross multiply
    662.34x = 992.84 × 229.12
  4. Step 4: Simplify right side
    662.34x = 227,479.50
  5. Step 5: Solve for x
    x = 227,479.50/662.34
  6. Step 6: Final answer
    x = 343.45

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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.