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Finding the Fourth Proportional to 451.94, 677.84 and 232.70

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Solution

The fourth proportional to 451.94, 677.84 and 232.70 is: 349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 677.84 = 232.70 : x
  2. Step 2: Convert to fraction form
    451.94/677.84 = 232.70/x
  3. Step 3: Cross multiply
    451.94x = 677.84 × 232.70
  4. Step 4: Simplify right side
    451.94x = 157,733.37
  5. Step 5: Solve for x
    x = 157,733.37/451.94
  6. Step 6: Final answer
    x = 349.01

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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.