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Finding the Fourth Proportional to 598.02, 825.29 and 336.07

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Solution

The fourth proportional to 598.02, 825.29 and 336.07 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 825.29 = 336.07 : x
  2. Step 2: Convert to fraction form
    598.02/825.29 = 336.07/x
  3. Step 3: Cross multiply
    598.02x = 825.29 × 336.07
  4. Step 4: Simplify right side
    598.02x = 277,355.21
  5. Step 5: Solve for x
    x = 277,355.21/598.02
  6. Step 6: Final answer
    x = 463.79

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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.