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Finding the Fourth Proportional to 964.43, 1,446.64 and 234.00

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Solution

The fourth proportional to 964.43, 1,446.64 and 234.00 is: 351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.43 : 1,446.64 = 234.00 : x
  2. Step 2: Convert to fraction form
    964.43/1,446.64 = 234.00/x
  3. Step 3: Cross multiply
    964.43x = 1,446.64 × 234.00
  4. Step 4: Simplify right side
    964.43x = 338,519.48
  5. Step 5: Solve for x
    x = 338,519.48/964.43
  6. Step 6: Final answer
    x = 351.01

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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.