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Finding the Fourth Proportional to 427.84, 641.76 and 164.32

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Solution

The fourth proportional to 427.84, 641.76 and 164.32 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 641.76 = 164.32 : x
  2. Step 2: Convert to fraction form
    427.84/641.76 = 164.32/x
  3. Step 3: Cross multiply
    427.84x = 641.76 × 164.32
  4. Step 4: Simplify right side
    427.84x = 105,454.00
  5. Step 5: Solve for x
    x = 105,454.00/427.84
  6. Step 6: Final answer
    x = 246.48

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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.