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Finding the Fourth Proportional to 598.62, 898.04 and 233.37

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Solution

The fourth proportional to 598.62, 898.04 and 233.37 is: 350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 898.04 = 233.37 : x
  2. Step 2: Convert to fraction form
    598.62/898.04 = 233.37/x
  3. Step 3: Cross multiply
    598.62x = 898.04 × 233.37
  4. Step 4: Simplify right side
    598.62x = 209,574.43
  5. Step 5: Solve for x
    x = 209,574.43/598.62
  6. Step 6: Final answer
    x = 350.10

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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.