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Finding the Fourth Proportional to 293.78, 437.75 and 261.48

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Solution

The fourth proportional to 293.78, 437.75 and 261.48 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 437.75 = 261.48 : x
  2. Step 2: Convert to fraction form
    293.78/437.75 = 261.48/x
  3. Step 3: Cross multiply
    293.78x = 437.75 × 261.48
  4. Step 4: Simplify right side
    293.78x = 114,463.19
  5. Step 5: Solve for x
    x = 114,463.19/293.78
  6. Step 6: Final answer
    x = 389.63

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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.