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Finding the Fourth Proportional to 598.13, 825.36 and 336.09

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Solution

The fourth proportional to 598.13, 825.36 and 336.09 is: 463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.13 : 825.36 = 336.09 : x
  2. Step 2: Convert to fraction form
    598.13/825.36 = 336.09/x
  3. Step 3: Cross multiply
    598.13x = 825.36 × 336.09
  4. Step 4: Simplify right side
    598.13x = 277,397.08
  5. Step 5: Solve for x
    x = 277,397.08/598.13
  6. Step 6: Final answer
    x = 463.77

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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.