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Finding the Fourth Proportional to 597.38, 895.84 and 232.12

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Solution

The fourth proportional to 597.38, 895.84 and 232.12 is: 348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 895.84 = 232.12 : x
  2. Step 2: Convert to fraction form
    597.38/895.84 = 232.12/x
  3. Step 3: Cross multiply
    597.38x = 895.84 × 232.12
  4. Step 4: Simplify right side
    597.38x = 207,936.74
  5. Step 5: Solve for x
    x = 207,936.74/597.38
  6. Step 6: Final answer
    x = 348.08

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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.