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Finding the Fourth Proportional to 369.74, 509.55 and 266.06

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Solution

The fourth proportional to 369.74, 509.55 and 266.06 is: 366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.74 : 509.55 = 266.06 : x
  2. Step 2: Convert to fraction form
    369.74/509.55 = 266.06/x
  3. Step 3: Cross multiply
    369.74x = 509.55 × 266.06
  4. Step 4: Simplify right side
    369.74x = 135,570.87
  5. Step 5: Solve for x
    x = 135,570.87/369.74
  6. Step 6: Final answer
    x = 366.67

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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.