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Finding the Fourth Proportional to 453.22, 625.14 and 322

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Solution

The fourth proportional to 453.22, 625.14 and 322 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.22 : 625.14 = 322 : x
  2. Step 2: Convert to fraction form
    453.22/625.14 = 322/x
  3. Step 3: Cross multiply
    453.22x = 625.14 × 322
  4. Step 4: Simplify right side
    453.22x = 201,295.08
  5. Step 5: Solve for x
    x = 201,295.08/453.22
  6. Step 6: Final answer
    x = 444.14

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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.