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Finding the Fourth Proportional to 597.20, 824.16 and 335.30

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Solution

The fourth proportional to 597.20, 824.16 and 335.30 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 824.16 = 335.30 : x
  2. Step 2: Convert to fraction form
    597.20/824.16 = 335.30/x
  3. Step 3: Cross multiply
    597.20x = 824.16 × 335.30
  4. Step 4: Simplify right side
    597.20x = 276,336.73
  5. Step 5: Solve for x
    x = 276,336.73/597.20
  6. Step 6: Final answer
    x = 462.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.