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Finding the Fourth Proportional to 301.93, 450.43 and 293.56

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Solution

The fourth proportional to 301.93, 450.43 and 293.56 is: 437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 450.43 = 293.56 : x
  2. Step 2: Convert to fraction form
    301.93/450.43 = 293.56/x
  3. Step 3: Cross multiply
    301.93x = 450.43 × 293.56
  4. Step 4: Simplify right side
    301.93x = 132,228.23
  5. Step 5: Solve for x
    x = 132,228.23/301.93
  6. Step 6: Final answer
    x = 437.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.