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Finding the Fourth Proportional to 599.97, 828.01 and 334.47

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Solution

The fourth proportional to 599.97, 828.01 and 334.47 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.97 : 828.01 = 334.47 : x
  2. Step 2: Convert to fraction form
    599.97/828.01 = 334.47/x
  3. Step 3: Cross multiply
    599.97x = 828.01 × 334.47
  4. Step 4: Simplify right side
    599.97x = 276,944.50
  5. Step 5: Solve for x
    x = 276,944.50/599.97
  6. Step 6: Final answer
    x = 461.60

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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.