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Finding the Fourth Proportional to 597.77, 824.89 and 349.05

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Solution

The fourth proportional to 597.77, 824.89 and 349.05 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.77 : 824.89 = 349.05 : x
  2. Step 2: Convert to fraction form
    597.77/824.89 = 349.05/x
  3. Step 3: Cross multiply
    597.77x = 824.89 × 349.05
  4. Step 4: Simplify right side
    597.77x = 287,921.98
  5. Step 5: Solve for x
    x = 287,921.98/597.77
  6. Step 6: Final answer
    x = 481.66

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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.