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Finding the Fourth Proportional to 709.43, 1,063.68 and 298.35

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Solution

The fourth proportional to 709.43, 1,063.68 and 298.35 is: 447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.43 : 1,063.68 = 298.35 : x
  2. Step 2: Convert to fraction form
    709.43/1,063.68 = 298.35/x
  3. Step 3: Cross multiply
    709.43x = 1,063.68 × 298.35
  4. Step 4: Simplify right side
    709.43x = 317,349.49
  5. Step 5: Solve for x
    x = 317,349.49/709.43
  6. Step 6: Final answer
    x = 447.33

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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.