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Finding the Fourth Proportional to 453.64, 679.44 and 209.42

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Solution

The fourth proportional to 453.64, 679.44 and 209.42 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.64 : 679.44 = 209.42 : x
  2. Step 2: Convert to fraction form
    453.64/679.44 = 209.42/x
  3. Step 3: Cross multiply
    453.64x = 679.44 × 209.42
  4. Step 4: Simplify right side
    453.64x = 142,288.32
  5. Step 5: Solve for x
    x = 142,288.32/453.64
  6. Step 6: Final answer
    x = 313.66

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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.