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Finding the Fourth Proportional to 293.83, 440.03 and 288.36

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Solution

The fourth proportional to 293.83, 440.03 and 288.36 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.83 : 440.03 = 288.36 : x
  2. Step 2: Convert to fraction form
    293.83/440.03 = 288.36/x
  3. Step 3: Cross multiply
    293.83x = 440.03 × 288.36
  4. Step 4: Simplify right side
    293.83x = 126,887.77
  5. Step 5: Solve for x
    x = 126,887.77/293.83
  6. Step 6: Final answer
    x = 431.84

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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.