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Finding the Fourth Proportional to 398.92, 598.44 and 356.08

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Solution

The fourth proportional to 398.92, 598.44 and 356.08 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.92 : 598.44 = 356.08 : x
  2. Step 2: Convert to fraction form
    398.92/598.44 = 356.08/x
  3. Step 3: Cross multiply
    398.92x = 598.44 × 356.08
  4. Step 4: Simplify right side
    398.92x = 213,092.52
  5. Step 5: Solve for x
    x = 213,092.52/398.92
  6. Step 6: Final answer
    x = 534.17

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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.