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Finding the Fourth Proportional to 809.46, 1,214.34 and 322.86

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Solution

The fourth proportional to 809.46, 1,214.34 and 322.86 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.46 : 1,214.34 = 322.86 : x
  2. Step 2: Convert to fraction form
    809.46/1,214.34 = 322.86/x
  3. Step 3: Cross multiply
    809.46x = 1,214.34 × 322.86
  4. Step 4: Simplify right side
    809.46x = 392,061.81
  5. Step 5: Solve for x
    x = 392,061.81/809.46
  6. Step 6: Final answer
    x = 484.35

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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.