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Finding the Fourth Proportional to 397.40, 595.02 and 234.68

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Solution

The fourth proportional to 397.40, 595.02 and 234.68 is: 351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.40 : 595.02 = 234.68 : x
  2. Step 2: Convert to fraction form
    397.40/595.02 = 234.68/x
  3. Step 3: Cross multiply
    397.40x = 595.02 × 234.68
  4. Step 4: Simplify right side
    397.40x = 139,639.29
  5. Step 5: Solve for x
    x = 139,639.29/397.40
  6. Step 6: Final answer
    x = 351.38

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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.