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Finding the Fourth Proportional to 644.47, 966.47 and 233.51

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Solution

The fourth proportional to 644.47, 966.47 and 233.51 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.47 : 966.47 = 233.51 : x
  2. Step 2: Convert to fraction form
    644.47/966.47 = 233.51/x
  3. Step 3: Cross multiply
    644.47x = 966.47 × 233.51
  4. Step 4: Simplify right side
    644.47x = 225,674.41
  5. Step 5: Solve for x
    x = 225,674.41/644.47
  6. Step 6: Final answer
    x = 350.17

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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.