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Finding the Fourth Proportional to 597.37, 824.37 and 335.39

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Solution

The fourth proportional to 597.37, 824.37 and 335.39 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.37 : 824.37 = 335.39 : x
  2. Step 2: Convert to fraction form
    597.37/824.37 = 335.39/x
  3. Step 3: Cross multiply
    597.37x = 824.37 × 335.39
  4. Step 4: Simplify right side
    597.37x = 276,480.49
  5. Step 5: Solve for x
    x = 276,480.49/597.37
  6. Step 6: Final answer
    x = 462.83

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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.