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Finding the Fourth Proportional to 598.01, 825.25 and 349.46

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Solution

The fourth proportional to 598.01, 825.25 and 349.46 is: 482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 825.25 = 349.46 : x
  2. Step 2: Convert to fraction form
    598.01/825.25 = 349.46/x
  3. Step 3: Cross multiply
    598.01x = 825.25 × 349.46
  4. Step 4: Simplify right side
    598.01x = 288,395.75
  5. Step 5: Solve for x
    x = 288,395.75/598.01
  6. Step 6: Final answer
    x = 482.26

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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.