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Finding the Fourth Proportional to 418.02, 627.03 and 174.57

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Solution

The fourth proportional to 418.02, 627.03 and 174.57 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 627.03 = 174.57 : x
  2. Step 2: Convert to fraction form
    418.02/627.03 = 174.57/x
  3. Step 3: Cross multiply
    418.02x = 627.03 × 174.57
  4. Step 4: Simplify right side
    418.02x = 109,460.63
  5. Step 5: Solve for x
    x = 109,460.63/418.02
  6. Step 6: Final answer
    x = 261.86

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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.