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Finding the Fourth Proportional to 293.41, 440.08 and 77.00

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Solution

The fourth proportional to 293.41, 440.08 and 77.00 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.41 : 440.08 = 77.00 : x
  2. Step 2: Convert to fraction form
    293.41/440.08 = 77.00/x
  3. Step 3: Cross multiply
    293.41x = 440.08 × 77.00
  4. Step 4: Simplify right side
    293.41x = 33,887.07
  5. Step 5: Solve for x
    x = 33,887.07/293.41
  6. Step 6: Final answer
    x = 115.49

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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.