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Finding the Fourth Proportional to 599.09, 899.10 and 437.81

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Solution

The fourth proportional to 599.09, 899.10 and 437.81 is: 657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 899.10 = 437.81 : x
  2. Step 2: Convert to fraction form
    599.09/899.10 = 437.81/x
  3. Step 3: Cross multiply
    599.09x = 899.10 × 437.81
  4. Step 4: Simplify right side
    599.09x = 393,634.97
  5. Step 5: Solve for x
    x = 393,634.97/599.09
  6. Step 6: Final answer
    x = 657.05

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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.