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Finding the Fourth Proportional to 597.08, 823.93 and 335.09

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Solution

The fourth proportional to 597.08, 823.93 and 335.09 is: 462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 823.93 = 335.09 : x
  2. Step 2: Convert to fraction form
    597.08/823.93 = 335.09/x
  3. Step 3: Cross multiply
    597.08x = 823.93 × 335.09
  4. Step 4: Simplify right side
    597.08x = 276,093.18
  5. Step 5: Solve for x
    x = 276,093.18/597.08
  6. Step 6: Final answer
    x = 462.41

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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.