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Finding the Fourth Proportional to 417.98, 627.06 and 174.80

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Solution

The fourth proportional to 417.98, 627.06 and 174.80 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 627.06 = 174.80 : x
  2. Step 2: Convert to fraction form
    417.98/627.06 = 174.80/x
  3. Step 3: Cross multiply
    417.98x = 627.06 × 174.80
  4. Step 4: Simplify right side
    417.98x = 109,610.09
  5. Step 5: Solve for x
    x = 109,610.09/417.98
  6. Step 6: Final answer
    x = 262.24

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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.