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Finding the Fourth Proportional to 293.45, 440.31 and 288.59

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Solution

The fourth proportional to 293.45, 440.31 and 288.59 is: 433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 440.31 = 288.59 : x
  2. Step 2: Convert to fraction form
    293.45/440.31 = 288.59/x
  3. Step 3: Cross multiply
    293.45x = 440.31 × 288.59
  4. Step 4: Simplify right side
    293.45x = 127,069.06
  5. Step 5: Solve for x
    x = 127,069.06/293.45
  6. Step 6: Final answer
    x = 433.02

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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.