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Finding the Fourth Proportional to 809.41, 1,214.35 and 398.67

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Solution

The fourth proportional to 809.41, 1,214.35 and 398.67 is: 598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.41 : 1,214.35 = 398.67 : x
  2. Step 2: Convert to fraction form
    809.41/1,214.35 = 398.67/x
  3. Step 3: Cross multiply
    809.41x = 1,214.35 × 398.67
  4. Step 4: Simplify right side
    809.41x = 484,122.92
  5. Step 5: Solve for x
    x = 484,122.92/809.41
  6. Step 6: Final answer
    x = 598.12

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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.