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Finding the Fourth Proportional to 293.60, 440.40 and 275.78

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Solution

The fourth proportional to 293.60, 440.40 and 275.78 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 440.40 = 275.78 : x
  2. Step 2: Convert to fraction form
    293.60/440.40 = 275.78/x
  3. Step 3: Cross multiply
    293.60x = 440.40 × 275.78
  4. Step 4: Simplify right side
    293.60x = 121,455.65
  5. Step 5: Solve for x
    x = 121,455.65/293.60
  6. Step 6: Final answer
    x = 413.67

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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.