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Finding the Fourth Proportional to 599.86, 828.12 and 425.62

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Solution

The fourth proportional to 599.86, 828.12 and 425.62 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.86 : 828.12 = 425.62 : x
  2. Step 2: Convert to fraction form
    599.86/828.12 = 425.62/x
  3. Step 3: Cross multiply
    599.86x = 828.12 × 425.62
  4. Step 4: Simplify right side
    599.86x = 352,464.43
  5. Step 5: Solve for x
    x = 352,464.43/599.86
  6. Step 6: Final answer
    x = 587.58

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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.