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Finding the Fourth Proportional to 598.86, 898.83 and 392.85

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Solution

The fourth proportional to 598.86, 898.83 and 392.85 is: 589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 898.83 = 392.85 : x
  2. Step 2: Convert to fraction form
    598.86/898.83 = 392.85/x
  3. Step 3: Cross multiply
    598.86x = 898.83 × 392.85
  4. Step 4: Simplify right side
    598.86x = 353,105.37
  5. Step 5: Solve for x
    x = 353,105.37/598.86
  6. Step 6: Final answer
    x = 589.63

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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.