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Finding the Fourth Proportional to 803.10, 1,204.28 and 315.82

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Solution

The fourth proportional to 803.10, 1,204.28 and 315.82 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.10 : 1,204.28 = 315.82 : x
  2. Step 2: Convert to fraction form
    803.10/1,204.28 = 315.82/x
  3. Step 3: Cross multiply
    803.10x = 1,204.28 × 315.82
  4. Step 4: Simplify right side
    803.10x = 380,335.71
  5. Step 5: Solve for x
    x = 380,335.71/803.10
  6. Step 6: Final answer
    x = 473.58

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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.