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Finding the Fourth Proportional to 597.95, 896.38 and 232.49

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Solution

The fourth proportional to 597.95, 896.38 and 232.49 is: 348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.95 : 896.38 = 232.49 : x
  2. Step 2: Convert to fraction form
    597.95/896.38 = 232.49/x
  3. Step 3: Cross multiply
    597.95x = 896.38 × 232.49
  4. Step 4: Simplify right side
    597.95x = 208,394.32
  5. Step 5: Solve for x
    x = 208,394.32/597.95
  6. Step 6: Final answer
    x = 348.52

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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.