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Finding the Fourth Proportional to 455.22, 627.59 and 362.27

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Solution

The fourth proportional to 455.22, 627.59 and 362.27 is: 499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.22 : 627.59 = 362.27 : x
  2. Step 2: Convert to fraction form
    455.22/627.59 = 362.27/x
  3. Step 3: Cross multiply
    455.22x = 627.59 × 362.27
  4. Step 4: Simplify right side
    455.22x = 227,352.08
  5. Step 5: Solve for x
    x = 227,352.08/455.22
  6. Step 6: Final answer
    x = 499.43

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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.