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Finding the Fourth Proportional to 463.39, 695.09 and 155.27

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Solution

The fourth proportional to 463.39, 695.09 and 155.27 is: 232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.39 : 695.09 = 155.27 : x
  2. Step 2: Convert to fraction form
    463.39/695.09 = 155.27/x
  3. Step 3: Cross multiply
    463.39x = 695.09 × 155.27
  4. Step 4: Simplify right side
    463.39x = 107,928.75
  5. Step 5: Solve for x
    x = 107,928.75/463.39
  6. Step 6: Final answer
    x = 232.91

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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.