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Finding the Fourth Proportional to 662.35, 992.71 and 229.00

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Solution

The fourth proportional to 662.35, 992.71 and 229.00 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.35 : 992.71 = 229.00 : x
  2. Step 2: Convert to fraction form
    662.35/992.71 = 229.00/x
  3. Step 3: Cross multiply
    662.35x = 992.71 × 229.00
  4. Step 4: Simplify right side
    662.35x = 227,325.05
  5. Step 5: Solve for x
    x = 227,325.05/662.35
  6. Step 6: Final answer
    x = 343.21

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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.