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Finding the Fourth Proportional to 434.26, 599.23 and 345.97

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Solution

The fourth proportional to 434.26, 599.23 and 345.97 is: 477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 599.23 = 345.97 : x
  2. Step 2: Convert to fraction form
    434.26/599.23 = 345.97/x
  3. Step 3: Cross multiply
    434.26x = 599.23 × 345.97
  4. Step 4: Simplify right side
    434.26x = 207,311.47
  5. Step 5: Solve for x
    x = 207,311.47/434.26
  6. Step 6: Final answer
    x = 477.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.