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Finding the Fourth Proportional to 597.75, 824.94 and 335.78

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Solution

The fourth proportional to 597.75, 824.94 and 335.78 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 824.94 = 335.78 : x
  2. Step 2: Convert to fraction form
    597.75/824.94 = 335.78/x
  3. Step 3: Cross multiply
    597.75x = 824.94 × 335.78
  4. Step 4: Simplify right side
    597.75x = 277,000.42
  5. Step 5: Solve for x
    x = 277,000.42/597.75
  6. Step 6: Final answer
    x = 463.41

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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.