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Finding the Fourth Proportional to 427.74, 641.59 and 180.84

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Solution

The fourth proportional to 427.74, 641.59 and 180.84 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 641.59 = 180.84 : x
  2. Step 2: Convert to fraction form
    427.74/641.59 = 180.84/x
  3. Step 3: Cross multiply
    427.74x = 641.59 × 180.84
  4. Step 4: Simplify right side
    427.74x = 116,024.23
  5. Step 5: Solve for x
    x = 116,024.23/427.74
  6. Step 6: Final answer
    x = 271.25

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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.