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Finding the Fourth Proportional to 598.30, 825.50 and 349.68

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Solution

The fourth proportional to 598.30, 825.50 and 349.68 is: 482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.30 : 825.50 = 349.68 : x
  2. Step 2: Convert to fraction form
    598.30/825.50 = 349.68/x
  3. Step 3: Cross multiply
    598.30x = 825.50 × 349.68
  4. Step 4: Simplify right side
    598.30x = 288,662.84
  5. Step 5: Solve for x
    x = 288,662.84/598.30
  6. Step 6: Final answer
    x = 482.47

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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.