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Finding the Fourth Proportional to 599.37, 897.44 and 310.20

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Solution

The fourth proportional to 599.37, 897.44 and 310.20 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.37 : 897.44 = 310.20 : x
  2. Step 2: Convert to fraction form
    599.37/897.44 = 310.20/x
  3. Step 3: Cross multiply
    599.37x = 897.44 × 310.20
  4. Step 4: Simplify right side
    599.37x = 278,384.34
  5. Step 5: Solve for x
    x = 278,384.34/599.37
  6. Step 6: Final answer
    x = 464.46

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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.