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Finding the Fourth Proportional to 599.88, 899.82 and 339.24

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Solution

The fourth proportional to 599.88, 899.82 and 339.24 is: 508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.88 : 899.82 = 339.24 : x
  2. Step 2: Convert to fraction form
    599.88/899.82 = 339.24/x
  3. Step 3: Cross multiply
    599.88x = 899.82 × 339.24
  4. Step 4: Simplify right side
    599.88x = 305,254.94
  5. Step 5: Solve for x
    x = 305,254.94/599.88
  6. Step 6: Final answer
    x = 508.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.