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Finding the Fourth Proportional to 597.80, 824.85 and 335.75

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Solution

The fourth proportional to 597.80, 824.85 and 335.75 is: 463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 824.85 = 335.75 : x
  2. Step 2: Convert to fraction form
    597.80/824.85 = 335.75/x
  3. Step 3: Cross multiply
    597.80x = 824.85 × 335.75
  4. Step 4: Simplify right side
    597.80x = 276,943.39
  5. Step 5: Solve for x
    x = 276,943.39/597.80
  6. Step 6: Final answer
    x = 463.27

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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.