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Finding the Fourth Proportional to 453.69, 680.45 and 145.46

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Solution

The fourth proportional to 453.69, 680.45 and 145.46 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 680.45 = 145.46 : x
  2. Step 2: Convert to fraction form
    453.69/680.45 = 145.46/x
  3. Step 3: Cross multiply
    453.69x = 680.45 × 145.46
  4. Step 4: Simplify right side
    453.69x = 98,977.53
  5. Step 5: Solve for x
    x = 98,977.53/453.69
  6. Step 6: Final answer
    x = 218.16

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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.