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Finding the Fourth Proportional to 366.74, 505.27 and 283.56

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Solution

The fourth proportional to 366.74, 505.27 and 283.56 is: 390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.74 : 505.27 = 283.56 : x
  2. Step 2: Convert to fraction form
    366.74/505.27 = 283.56/x
  3. Step 3: Cross multiply
    366.74x = 505.27 × 283.56
  4. Step 4: Simplify right side
    366.74x = 143,274.36
  5. Step 5: Solve for x
    x = 143,274.36/366.74
  6. Step 6: Final answer
    x = 390.67

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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.