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Finding the Fourth Proportional to 597.36, 896.32 and 308.80

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Solution

The fourth proportional to 597.36, 896.32 and 308.80 is: 463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.36 : 896.32 = 308.80 : x
  2. Step 2: Convert to fraction form
    597.36/896.32 = 308.80/x
  3. Step 3: Cross multiply
    597.36x = 896.32 × 308.80
  4. Step 4: Simplify right side
    597.36x = 276,783.62
  5. Step 5: Solve for x
    x = 276,783.62/597.36
  6. Step 6: Final answer
    x = 463.34

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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.