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Finding the Fourth Proportional to 597.32, 896.44 and 232.14

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Solution

The fourth proportional to 597.32, 896.44 and 232.14 is: 348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.32 : 896.44 = 232.14 : x
  2. Step 2: Convert to fraction form
    597.32/896.44 = 232.14/x
  3. Step 3: Cross multiply
    597.32x = 896.44 × 232.14
  4. Step 4: Simplify right side
    597.32x = 208,100.93
  5. Step 5: Solve for x
    x = 208,100.93/597.32
  6. Step 6: Final answer
    x = 348.39

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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.