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Finding the Fourth Proportional to 598.31, 825.62 and 336.32

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Solution

The fourth proportional to 598.31, 825.62 and 336.32 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.31 : 825.62 = 336.32 : x
  2. Step 2: Convert to fraction form
    598.31/825.62 = 336.32/x
  3. Step 3: Cross multiply
    598.31x = 825.62 × 336.32
  4. Step 4: Simplify right side
    598.31x = 277,666.71
  5. Step 5: Solve for x
    x = 277,666.71/598.31
  6. Step 6: Final answer
    x = 464.09

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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.