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Finding the Fourth Proportional to 597.02, 823.82 and 335.03

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Solution

The fourth proportional to 597.02, 823.82 and 335.03 is: 462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 823.82 = 335.03 : x
  2. Step 2: Convert to fraction form
    597.02/823.82 = 335.03/x
  3. Step 3: Cross multiply
    597.02x = 823.82 × 335.03
  4. Step 4: Simplify right side
    597.02x = 275,998.62
  5. Step 5: Solve for x
    x = 275,998.62/597.02
  6. Step 6: Final answer
    x = 462.30

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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.