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Finding the Fourth Proportional to 597.13, 823.99 and 335.09

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Solution

The fourth proportional to 597.13, 823.99 and 335.09 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.13 : 823.99 = 335.09 : x
  2. Step 2: Convert to fraction form
    597.13/823.99 = 335.09/x
  3. Step 3: Cross multiply
    597.13x = 823.99 × 335.09
  4. Step 4: Simplify right side
    597.13x = 276,114.74
  5. Step 5: Solve for x
    x = 276,114.74/597.13
  6. Step 6: Final answer
    x = 462.40

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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.