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Finding the Fourth Proportional to 597.87, 825.02 and 335.85

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Solution

The fourth proportional to 597.87, 825.02 and 335.85 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.87 : 825.02 = 335.85 : x
  2. Step 2: Convert to fraction form
    597.87/825.02 = 335.85/x
  3. Step 3: Cross multiply
    597.87x = 825.02 × 335.85
  4. Step 4: Simplify right side
    597.87x = 277,081.29
  5. Step 5: Solve for x
    x = 277,081.29/597.87
  6. Step 6: Final answer
    x = 463.45

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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.