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Finding the Fourth Proportional to 597.50, 824.36 and 335.48

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Solution

The fourth proportional to 597.50, 824.36 and 335.48 is: 462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.36 = 335.48 : x
  2. Step 2: Convert to fraction form
    597.50/824.36 = 335.48/x
  3. Step 3: Cross multiply
    597.50x = 824.36 × 335.48
  4. Step 4: Simplify right side
    597.50x = 276,556.29
  5. Step 5: Solve for x
    x = 276,556.29/597.50
  6. Step 6: Final answer
    x = 462.86

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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.