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Finding the Fourth Proportional to 597.41, 824.42 and 335.42

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Solution

The fourth proportional to 597.41, 824.42 and 335.42 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 824.42 = 335.42 : x
  2. Step 2: Convert to fraction form
    597.41/824.42 = 335.42/x
  3. Step 3: Cross multiply
    597.41x = 824.42 × 335.42
  4. Step 4: Simplify right side
    597.41x = 276,526.96
  5. Step 5: Solve for x
    x = 276,526.96/597.41
  6. Step 6: Final answer
    x = 462.88

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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.