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Finding the Fourth Proportional to 383.47, 528.42 and 266.83

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Solution

The fourth proportional to 383.47, 528.42 and 266.83 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.47 : 528.42 = 266.83 : x
  2. Step 2: Convert to fraction form
    383.47/528.42 = 266.83/x
  3. Step 3: Cross multiply
    383.47x = 528.42 × 266.83
  4. Step 4: Simplify right side
    383.47x = 140,997.99
  5. Step 5: Solve for x
    x = 140,997.99/383.47
  6. Step 6: Final answer
    x = 367.69

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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.