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Finding the Fourth Proportional to 598.16, 825.46 and 349.43

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Solution

The fourth proportional to 598.16, 825.46 and 349.43 is: 482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 825.46 = 349.43 : x
  2. Step 2: Convert to fraction form
    598.16/825.46 = 349.43/x
  3. Step 3: Cross multiply
    598.16x = 825.46 × 349.43
  4. Step 4: Simplify right side
    598.16x = 288,440.13
  5. Step 5: Solve for x
    x = 288,440.13/598.16
  6. Step 6: Final answer
    x = 482.21

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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.