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Finding the Fourth Proportional to 397.98, 599.30 and 347.23

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Solution

The fourth proportional to 397.98, 599.30 and 347.23 is: 522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 599.30 = 347.23 : x
  2. Step 2: Convert to fraction form
    397.98/599.30 = 347.23/x
  3. Step 3: Cross multiply
    397.98x = 599.30 × 347.23
  4. Step 4: Simplify right side
    397.98x = 208,091.94
  5. Step 5: Solve for x
    x = 208,091.94/397.98
  6. Step 6: Final answer
    x = 522.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.