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Finding the Fourth Proportional to 398.87, 597.63 and 316.86

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Solution

The fourth proportional to 398.87, 597.63 and 316.86 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.87 : 597.63 = 316.86 : x
  2. Step 2: Convert to fraction form
    398.87/597.63 = 316.86/x
  3. Step 3: Cross multiply
    398.87x = 597.63 × 316.86
  4. Step 4: Simplify right side
    398.87x = 189,365.27
  5. Step 5: Solve for x
    x = 189,365.27/398.87
  6. Step 6: Final answer
    x = 474.75

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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.