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Finding the Fourth Proportional to 397.04, 594.78 and 234.39

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Solution

The fourth proportional to 397.04, 594.78 and 234.39 is: 351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.04 : 594.78 = 234.39 : x
  2. Step 2: Convert to fraction form
    397.04/594.78 = 234.39/x
  3. Step 3: Cross multiply
    397.04x = 594.78 × 234.39
  4. Step 4: Simplify right side
    397.04x = 139,411.84
  5. Step 5: Solve for x
    x = 139,411.84/397.04
  6. Step 6: Final answer
    x = 351.13

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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.