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Finding the Fourth Proportional to 453.29, 680.02 and 145.11

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Solution

The fourth proportional to 453.29, 680.02 and 145.11 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.29 : 680.02 = 145.11 : x
  2. Step 2: Convert to fraction form
    453.29/680.02 = 145.11/x
  3. Step 3: Cross multiply
    453.29x = 680.02 × 145.11
  4. Step 4: Simplify right side
    453.29x = 98,678.68
  5. Step 5: Solve for x
    x = 98,678.68/453.29
  6. Step 6: Final answer
    x = 217.70

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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.