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Finding the Fourth Proportional to 598.72, 825.94 and 350

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Solution

The fourth proportional to 598.72, 825.94 and 350 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.72 : 825.94 = 350 : x
  2. Step 2: Convert to fraction form
    598.72/825.94 = 350/x
  3. Step 3: Cross multiply
    598.72x = 825.94 × 350
  4. Step 4: Simplify right side
    598.72x = 289,079
  5. Step 5: Solve for x
    x = 289,079/598.72
  6. Step 6: Final answer
    x = 482.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.