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Finding the Fourth Proportional to 803.31, 1,204.24 and 316.70

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Solution

The fourth proportional to 803.31, 1,204.24 and 316.70 is: 474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.31 : 1,204.24 = 316.70 : x
  2. Step 2: Convert to fraction form
    803.31/1,204.24 = 316.70/x
  3. Step 3: Cross multiply
    803.31x = 1,204.24 × 316.70
  4. Step 4: Simplify right side
    803.31x = 381,382.81
  5. Step 5: Solve for x
    x = 381,382.81/803.31
  6. Step 6: Final answer
    x = 474.76

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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.