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Finding the Fourth Proportional to 597.09, 824.09 and 335.19

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Solution

The fourth proportional to 597.09, 824.09 and 335.19 is: 462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.09 : 824.09 = 335.19 : x
  2. Step 2: Convert to fraction form
    597.09/824.09 = 335.19/x
  3. Step 3: Cross multiply
    597.09x = 824.09 × 335.19
  4. Step 4: Simplify right side
    597.09x = 276,225.05
  5. Step 5: Solve for x
    x = 276,225.05/597.09
  6. Step 6: Final answer
    x = 462.62

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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.