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Finding the Fourth Proportional to 598.05, 825.19 and 336.02

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Solution

The fourth proportional to 598.05, 825.19 and 336.02 is: 463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 825.19 = 336.02 : x
  2. Step 2: Convert to fraction form
    598.05/825.19 = 336.02/x
  3. Step 3: Cross multiply
    598.05x = 825.19 × 336.02
  4. Step 4: Simplify right side
    598.05x = 277,275.38
  5. Step 5: Solve for x
    x = 277,275.38/598.05
  6. Step 6: Final answer
    x = 463.63

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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.