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Finding the Fourth Proportional to 398.22, 596.40 and 233.28

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Solution

The fourth proportional to 398.22, 596.40 and 233.28 is: 349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.22 : 596.40 = 233.28 : x
  2. Step 2: Convert to fraction form
    398.22/596.40 = 233.28/x
  3. Step 3: Cross multiply
    398.22x = 596.40 × 233.28
  4. Step 4: Simplify right side
    398.22x = 139,128.19
  5. Step 5: Solve for x
    x = 139,128.19/398.22
  6. Step 6: Final answer
    x = 349.38

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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.