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Finding the Fourth Proportional to 455.25, 627.57 and 322.05

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Solution

The fourth proportional to 455.25, 627.57 and 322.05 is: 443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.25 : 627.57 = 322.05 : x
  2. Step 2: Convert to fraction form
    455.25/627.57 = 322.05/x
  3. Step 3: Cross multiply
    455.25x = 627.57 × 322.05
  4. Step 4: Simplify right side
    455.25x = 202,108.92
  5. Step 5: Solve for x
    x = 202,108.92/455.25
  6. Step 6: Final answer
    x = 443.95

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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.