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Finding the Fourth Proportional to 599.41, 827.57 and 412.84

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Solution

The fourth proportional to 599.41, 827.57 and 412.84 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.41 : 827.57 = 412.84 : x
  2. Step 2: Convert to fraction form
    599.41/827.57 = 412.84/x
  3. Step 3: Cross multiply
    599.41x = 827.57 × 412.84
  4. Step 4: Simplify right side
    599.41x = 341,654.00
  5. Step 5: Solve for x
    x = 341,654.00/599.41
  6. Step 6: Final answer
    x = 569.98

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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.