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Finding the Fourth Proportional to 366.39, 505.63 and 293.23

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Solution

The fourth proportional to 366.39, 505.63 and 293.23 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 505.63 = 293.23 : x
  2. Step 2: Convert to fraction form
    366.39/505.63 = 293.23/x
  3. Step 3: Cross multiply
    366.39x = 505.63 × 293.23
  4. Step 4: Simplify right side
    366.39x = 148,265.88
  5. Step 5: Solve for x
    x = 148,265.88/366.39
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.