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Finding the Fourth Proportional to 398.16, 600.75 and 394.92

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Solution

The fourth proportional to 398.16, 600.75 and 394.92 is: 595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 600.75 = 394.92 : x
  2. Step 2: Convert to fraction form
    398.16/600.75 = 394.92/x
  3. Step 3: Cross multiply
    398.16x = 600.75 × 394.92
  4. Step 4: Simplify right side
    398.16x = 237,248.19
  5. Step 5: Solve for x
    x = 237,248.19/398.16
  6. Step 6: Final answer
    x = 595.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.