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Finding the Fourth Proportional to 476.50, 713.94 and 232.69

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Solution

The fourth proportional to 476.50, 713.94 and 232.69 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.50 : 713.94 = 232.69 : x
  2. Step 2: Convert to fraction form
    476.50/713.94 = 232.69/x
  3. Step 3: Cross multiply
    476.50x = 713.94 × 232.69
  4. Step 4: Simplify right side
    476.50x = 166,126.70
  5. Step 5: Solve for x
    x = 166,126.70/476.50
  6. Step 6: Final answer
    x = 348.64

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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.