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Finding the Fourth Proportional to 293.07, 440.55 and 271.65

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Solution

The fourth proportional to 293.07, 440.55 and 271.65 is: 408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 440.55 = 271.65 : x
  2. Step 2: Convert to fraction form
    293.07/440.55 = 271.65/x
  3. Step 3: Cross multiply
    293.07x = 440.55 × 271.65
  4. Step 4: Simplify right side
    293.07x = 119,675.41
  5. Step 5: Solve for x
    x = 119,675.41/293.07
  6. Step 6: Final answer
    x = 408.35

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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.