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Finding the Fourth Proportional to 598.52, 894.29 and 441.68

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Solution

The fourth proportional to 598.52, 894.29 and 441.68 is: 659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.52 : 894.29 = 441.68 : x
  2. Step 2: Convert to fraction form
    598.52/894.29 = 441.68/x
  3. Step 3: Cross multiply
    598.52x = 894.29 × 441.68
  4. Step 4: Simplify right side
    598.52x = 394,983.33
  5. Step 5: Solve for x
    x = 394,983.33/598.52
  6. Step 6: Final answer
    x = 659.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.