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Finding the Fourth Proportional to 343.23, 514.37 and 297.47

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Solution

The fourth proportional to 343.23, 514.37 and 297.47 is: 445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 514.37 = 297.47 : x
  2. Step 2: Convert to fraction form
    343.23/514.37 = 297.47/x
  3. Step 3: Cross multiply
    343.23x = 514.37 × 297.47
  4. Step 4: Simplify right side
    343.23x = 153,005.58
  5. Step 5: Solve for x
    x = 153,005.58/343.23
  6. Step 6: Final answer
    x = 445.78

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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.