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Finding the Fourth Proportional to 597.69, 896.18 and 232.05

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Solution

The fourth proportional to 597.69, 896.18 and 232.05 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 896.18 = 232.05 : x
  2. Step 2: Convert to fraction form
    597.69/896.18 = 232.05/x
  3. Step 3: Cross multiply
    597.69x = 896.18 × 232.05
  4. Step 4: Simplify right side
    597.69x = 207,954.09
  5. Step 5: Solve for x
    x = 207,954.09/597.69
  6. Step 6: Final answer
    x = 347.93

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Why These Related Problems?

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