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Finding the Fourth Proportional to 427.59, 641.25 and 183.84

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Solution

The fourth proportional to 427.59, 641.25 and 183.84 is: 275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.59 : 641.25 = 183.84 : x
  2. Step 2: Convert to fraction form
    427.59/641.25 = 183.84/x
  3. Step 3: Cross multiply
    427.59x = 641.25 × 183.84
  4. Step 4: Simplify right side
    427.59x = 117,887.40
  5. Step 5: Solve for x
    x = 117,887.40/427.59
  6. Step 6: Final answer
    x = 275.70

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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.