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Finding the Fourth Proportional to 293.40, 439.57 and 276.05

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Solution

The fourth proportional to 293.40, 439.57 and 276.05 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 439.57 = 276.05 : x
  2. Step 2: Convert to fraction form
    293.40/439.57 = 276.05/x
  3. Step 3: Cross multiply
    293.40x = 439.57 × 276.05
  4. Step 4: Simplify right side
    293.40x = 121,339.72
  5. Step 5: Solve for x
    x = 121,339.72/293.40
  6. Step 6: Final answer
    x = 413.57

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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.