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Finding the Fourth Proportional to 597.79, 824.86 and 349.07

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Solution

The fourth proportional to 597.79, 824.86 and 349.07 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 824.86 = 349.07 : x
  2. Step 2: Convert to fraction form
    597.79/824.86 = 349.07/x
  3. Step 3: Cross multiply
    597.79x = 824.86 × 349.07
  4. Step 4: Simplify right side
    597.79x = 287,933.88
  5. Step 5: Solve for x
    x = 287,933.88/597.79
  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.