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Finding the Fourth Proportional to 453.68, 625.68 and 296.25

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Solution

The fourth proportional to 453.68, 625.68 and 296.25 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.68 : 625.68 = 296.25 : x
  2. Step 2: Convert to fraction form
    453.68/625.68 = 296.25/x
  3. Step 3: Cross multiply
    453.68x = 625.68 × 296.25
  4. Step 4: Simplify right side
    453.68x = 185,357.70
  5. Step 5: Solve for x
    x = 185,357.70/453.68
  6. Step 6: Final answer
    x = 408.56

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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.