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Finding the Fourth Proportional to 598.39, 897.89 and 233.28

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Solution

The fourth proportional to 598.39, 897.89 and 233.28 is: 350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 897.89 = 233.28 : x
  2. Step 2: Convert to fraction form
    598.39/897.89 = 233.28/x
  3. Step 3: Cross multiply
    598.39x = 897.89 × 233.28
  4. Step 4: Simplify right side
    598.39x = 209,458.61
  5. Step 5: Solve for x
    x = 209,458.61/598.39
  6. Step 6: Final answer
    x = 350.04

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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.