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Finding the Fourth Proportional to 598.39, 897.13 and 233.43

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Solution

The fourth proportional to 598.39, 897.13 and 233.43 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 897.13 = 233.43 : x
  2. Step 2: Convert to fraction form
    598.39/897.13 = 233.43/x
  3. Step 3: Cross multiply
    598.39x = 897.13 × 233.43
  4. Step 4: Simplify right side
    598.39x = 209,417.72
  5. Step 5: Solve for x
    x = 209,417.72/598.39
  6. Step 6: Final answer
    x = 349.97

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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.