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Finding the Fourth Proportional to 599.69, 828.25 and 410.32

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Solution

The fourth proportional to 599.69, 828.25 and 410.32 is: 566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.69 : 828.25 = 410.32 : x
  2. Step 2: Convert to fraction form
    599.69/828.25 = 410.32/x
  3. Step 3: Cross multiply
    599.69x = 828.25 × 410.32
  4. Step 4: Simplify right side
    599.69x = 339,847.54
  5. Step 5: Solve for x
    x = 339,847.54/599.69
  6. Step 6: Final answer
    x = 566.71

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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.