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Finding the Fourth Proportional to 476.14, 713.71 and 232.33

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Solution

The fourth proportional to 476.14, 713.71 and 232.33 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.14 : 713.71 = 232.33 : x
  2. Step 2: Convert to fraction form
    476.14/713.71 = 232.33/x
  3. Step 3: Cross multiply
    476.14x = 713.71 × 232.33
  4. Step 4: Simplify right side
    476.14x = 165,816.24
  5. Step 5: Solve for x
    x = 165,816.24/476.14
  6. Step 6: Final answer
    x = 348.25

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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.