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Finding the Fourth Proportional to 297.51, 445.73 and 233.25

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Solution

The fourth proportional to 297.51, 445.73 and 233.25 is: 349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.51 : 445.73 = 233.25 : x
  2. Step 2: Convert to fraction form
    297.51/445.73 = 233.25/x
  3. Step 3: Cross multiply
    297.51x = 445.73 × 233.25
  4. Step 4: Simplify right side
    297.51x = 103,965.36
  5. Step 5: Solve for x
    x = 103,965.36/297.51
  6. Step 6: Final answer
    x = 349.45

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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.