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Finding the Fourth Proportional to 453.61, 626.25 and 296.49

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Solution

The fourth proportional to 453.61, 626.25 and 296.49 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.61 : 626.25 = 296.49 : x
  2. Step 2: Convert to fraction form
    453.61/626.25 = 296.49/x
  3. Step 3: Cross multiply
    453.61x = 626.25 × 296.49
  4. Step 4: Simplify right side
    453.61x = 185,676.86
  5. Step 5: Solve for x
    x = 185,676.86/453.61
  6. Step 6: Final answer
    x = 409.33

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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.