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Finding the Fourth Proportional to 264.52, 394.47 and 232.17

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Solution

The fourth proportional to 264.52, 394.47 and 232.17 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.52 : 394.47 = 232.17 : x
  2. Step 2: Convert to fraction form
    264.52/394.47 = 232.17/x
  3. Step 3: Cross multiply
    264.52x = 394.47 × 232.17
  4. Step 4: Simplify right side
    264.52x = 91,584.10
  5. Step 5: Solve for x
    x = 91,584.10/264.52
  6. Step 6: Final answer
    x = 346.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.