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Finding the Fourth Proportional to 397.89, 597.42 and 243.99

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Solution

The fourth proportional to 397.89, 597.42 and 243.99 is: 366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 597.42 = 243.99 : x
  2. Step 2: Convert to fraction form
    397.89/597.42 = 243.99/x
  3. Step 3: Cross multiply
    397.89x = 597.42 × 243.99
  4. Step 4: Simplify right side
    397.89x = 145,764.51
  5. Step 5: Solve for x
    x = 145,764.51/397.89
  6. Step 6: Final answer
    x = 366.34

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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.