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Finding the Fourth Proportional to 809.68, 1,214.16 and 296.80

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Solution

The fourth proportional to 809.68, 1,214.16 and 296.80 is: 445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.68 : 1,214.16 = 296.80 : x
  2. Step 2: Convert to fraction form
    809.68/1,214.16 = 296.80/x
  3. Step 3: Cross multiply
    809.68x = 1,214.16 × 296.80
  4. Step 4: Simplify right side
    809.68x = 360,362.69
  5. Step 5: Solve for x
    x = 360,362.69/809.68
  6. Step 6: Final answer
    x = 445.07

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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.