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Finding the Fourth Proportional to 397.78, 594.24 and 316.71

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Solution

The fourth proportional to 397.78, 594.24 and 316.71 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 594.24 = 316.71 : x
  2. Step 2: Convert to fraction form
    397.78/594.24 = 316.71/x
  3. Step 3: Cross multiply
    397.78x = 594.24 × 316.71
  4. Step 4: Simplify right side
    397.78x = 188,200.56
  5. Step 5: Solve for x
    x = 188,200.56/397.78
  6. Step 6: Final answer
    x = 473.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.