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Finding the Fourth Proportional to 598.56, 825.76 and 349.45

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Solution

The fourth proportional to 598.56, 825.76 and 349.45 is: 482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 825.76 = 349.45 : x
  2. Step 2: Convert to fraction form
    598.56/825.76 = 349.45/x
  3. Step 3: Cross multiply
    598.56x = 825.76 × 349.45
  4. Step 4: Simplify right side
    598.56x = 288,563.12
  5. Step 5: Solve for x
    x = 288,563.12/598.56
  6. Step 6: Final answer
    x = 482.09

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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.