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Finding the Fourth Proportional to 597.73, 824.77 and 335.69

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Solution

The fourth proportional to 597.73, 824.77 and 335.69 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.73 : 824.77 = 335.69 : x
  2. Step 2: Convert to fraction form
    597.73/824.77 = 335.69/x
  3. Step 3: Cross multiply
    597.73x = 824.77 × 335.69
  4. Step 4: Simplify right side
    597.73x = 276,869.94
  5. Step 5: Solve for x
    x = 276,869.94/597.73
  6. Step 6: Final answer
    x = 463.20

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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.