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Finding the Fourth Proportional to 598.14, 825.52 and 349.60

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Solution

The fourth proportional to 598.14, 825.52 and 349.60 is: 482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 825.52 = 349.60 : x
  2. Step 2: Convert to fraction form
    598.14/825.52 = 349.60/x
  3. Step 3: Cross multiply
    598.14x = 825.52 × 349.60
  4. Step 4: Simplify right side
    598.14x = 288,601.79
  5. Step 5: Solve for x
    x = 288,601.79/598.14
  6. Step 6: Final answer
    x = 482.50

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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.