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Finding the Fourth Proportional to 397.65, 595.66 and 234.94

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Solution

The fourth proportional to 397.65, 595.66 and 234.94 is: 351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 595.66 = 234.94 : x
  2. Step 2: Convert to fraction form
    397.65/595.66 = 234.94/x
  3. Step 3: Cross multiply
    397.65x = 595.66 × 234.94
  4. Step 4: Simplify right side
    397.65x = 139,942.28
  5. Step 5: Solve for x
    x = 139,942.28/397.65
  6. Step 6: Final answer
    x = 351.92

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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.