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Finding the Fourth Proportional to 463.46, 694.74 and 232.00

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Solution

The fourth proportional to 463.46, 694.74 and 232.00 is: 347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 694.74 = 232.00 : x
  2. Step 2: Convert to fraction form
    463.46/694.74 = 232.00/x
  3. Step 3: Cross multiply
    463.46x = 694.74 × 232.00
  4. Step 4: Simplify right side
    463.46x = 161,178.81
  5. Step 5: Solve for x
    x = 161,178.81/463.46
  6. Step 6: Final answer
    x = 347.78

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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.