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Finding the Fourth Proportional to 454.82, 627.57 and 258.30

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Solution

The fourth proportional to 454.82, 627.57 and 258.30 is: 356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.82 : 627.57 = 258.30 : x
  2. Step 2: Convert to fraction form
    454.82/627.57 = 258.30/x
  3. Step 3: Cross multiply
    454.82x = 627.57 × 258.30
  4. Step 4: Simplify right side
    454.82x = 162,101.33
  5. Step 5: Solve for x
    x = 162,101.33/454.82
  6. Step 6: Final answer
    x = 356.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.