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Finding the Fourth Proportional to 598.78, 898.14 and 233.63

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Solution

The fourth proportional to 598.78, 898.14 and 233.63 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 898.14 = 233.63 : x
  2. Step 2: Convert to fraction form
    598.78/898.14 = 233.63/x
  3. Step 3: Cross multiply
    598.78x = 898.14 × 233.63
  4. Step 4: Simplify right side
    598.78x = 209,834.69
  5. Step 5: Solve for x
    x = 209,834.69/598.78
  6. Step 6: Final answer
    x = 350.44

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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.