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Finding the Fourth Proportional to 427.58, 641.23 and 171.02

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Solution

The fourth proportional to 427.58, 641.23 and 171.02 is: 256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 641.23 = 171.02 : x
  2. Step 2: Convert to fraction form
    427.58/641.23 = 171.02/x
  3. Step 3: Cross multiply
    427.58x = 641.23 × 171.02
  4. Step 4: Simplify right side
    427.58x = 109,663.15
  5. Step 5: Solve for x
    x = 109,663.15/427.58
  6. Step 6: Final answer
    x = 256.47

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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.