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Finding the Fourth Proportional to 453.07, 679.70 and 193.07

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Solution

The fourth proportional to 453.07, 679.70 and 193.07 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.07 : 679.70 = 193.07 : x
  2. Step 2: Convert to fraction form
    453.07/679.70 = 193.07/x
  3. Step 3: Cross multiply
    453.07x = 679.70 × 193.07
  4. Step 4: Simplify right side
    453.07x = 131,229.68
  5. Step 5: Solve for x
    x = 131,229.68/453.07
  6. Step 6: Final answer
    x = 289.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.