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Finding the Fourth Proportional to 599.72, 899.73 and 188.82

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Solution

The fourth proportional to 599.72, 899.73 and 188.82 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.72 : 899.73 = 188.82 : x
  2. Step 2: Convert to fraction form
    599.72/899.73 = 188.82/x
  3. Step 3: Cross multiply
    599.72x = 899.73 × 188.82
  4. Step 4: Simplify right side
    599.72x = 169,887.02
  5. Step 5: Solve for x
    x = 169,887.02/599.72
  6. Step 6: Final answer
    x = 283.28

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