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Finding the Fourth Proportional to 809.24, 1,214.46 and 315.72

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Solution

The fourth proportional to 809.24, 1,214.46 and 315.72 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.24 : 1,214.46 = 315.72 : x
  2. Step 2: Convert to fraction form
    809.24/1,214.46 = 315.72/x
  3. Step 3: Cross multiply
    809.24x = 1,214.46 × 315.72
  4. Step 4: Simplify right side
    809.24x = 383,427.73
  5. Step 5: Solve for x
    x = 383,427.73/809.24
  6. Step 6: Final answer
    x = 473.82

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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.