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Finding the Fourth Proportional to 597.70, 824.81 and 335.80

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Solution

The fourth proportional to 597.70, 824.81 and 335.80 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.70 : 824.81 = 335.80 : x
  2. Step 2: Convert to fraction form
    597.70/824.81 = 335.80/x
  3. Step 3: Cross multiply
    597.70x = 824.81 × 335.80
  4. Step 4: Simplify right side
    597.70x = 276,965.39
  5. Step 5: Solve for x
    x = 276,965.39/597.70
  6. Step 6: Final answer
    x = 463.39

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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.