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Finding the Fourth Proportional to 453.40, 674.68 and 451.87

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Solution

The fourth proportional to 453.40, 674.68 and 451.87 is: 672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.40 : 674.68 = 451.87 : x
  2. Step 2: Convert to fraction form
    453.40/674.68 = 451.87/x
  3. Step 3: Cross multiply
    453.40x = 674.68 × 451.87
  4. Step 4: Simplify right side
    453.40x = 304,867.65
  5. Step 5: Solve for x
    x = 304,867.65/453.40
  6. Step 6: Final answer
    x = 672.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.