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Finding the Fourth Proportional to 453.08, 679.68 and 431.24

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Solution

The fourth proportional to 453.08, 679.68 and 431.24 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.08 : 679.68 = 431.24 : x
  2. Step 2: Convert to fraction form
    453.08/679.68 = 431.24/x
  3. Step 3: Cross multiply
    453.08x = 679.68 × 431.24
  4. Step 4: Simplify right side
    453.08x = 293,105.20
  5. Step 5: Solve for x
    x = 293,105.20/453.08
  6. Step 6: Final answer
    x = 646.92

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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.