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Finding the Fourth Proportional to 598.78, 898.43 and 310.42

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Solution

The fourth proportional to 598.78, 898.43 and 310.42 is: 465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 898.43 = 310.42 : x
  2. Step 2: Convert to fraction form
    598.78/898.43 = 310.42/x
  3. Step 3: Cross multiply
    598.78x = 898.43 × 310.42
  4. Step 4: Simplify right side
    598.78x = 278,890.64
  5. Step 5: Solve for x
    x = 278,890.64/598.78
  6. Step 6: Final answer
    x = 465.76

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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.