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Finding the Fourth Proportional to 453.36, 679.76 and 145.12

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Solution

The fourth proportional to 453.36, 679.76 and 145.12 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.36 : 679.76 = 145.12 : x
  2. Step 2: Convert to fraction form
    453.36/679.76 = 145.12/x
  3. Step 3: Cross multiply
    453.36x = 679.76 × 145.12
  4. Step 4: Simplify right side
    453.36x = 98,646.77
  5. Step 5: Solve for x
    x = 98,646.77/453.36
  6. Step 6: Final answer
    x = 217.59

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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.