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Finding the Fourth Proportional to 803.38, 1,204.80 and 316.30

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Solution

The fourth proportional to 803.38, 1,204.80 and 316.30 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.38 : 1,204.80 = 316.30 : x
  2. Step 2: Convert to fraction form
    803.38/1,204.80 = 316.30/x
  3. Step 3: Cross multiply
    803.38x = 1,204.80 × 316.30
  4. Step 4: Simplify right side
    803.38x = 381,078.24
  5. Step 5: Solve for x
    x = 381,078.24/803.38
  6. Step 6: Final answer
    x = 474.34

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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.