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Finding the Fourth Proportional to 597.90, 825.06 and 335.96

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Solution

The fourth proportional to 597.90, 825.06 and 335.96 is: 463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 825.06 = 335.96 : x
  2. Step 2: Convert to fraction form
    597.90/825.06 = 335.96/x
  3. Step 3: Cross multiply
    597.90x = 825.06 × 335.96
  4. Step 4: Simplify right side
    597.90x = 277,187.16
  5. Step 5: Solve for x
    x = 277,187.16/597.90
  6. Step 6: Final answer
    x = 463.60

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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.