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Finding the Fourth Proportional to 383.80, 529.86 and 265.94

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Solution

The fourth proportional to 383.80, 529.86 and 265.94 is: 367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.80 : 529.86 = 265.94 : x
  2. Step 2: Convert to fraction form
    383.80/529.86 = 265.94/x
  3. Step 3: Cross multiply
    383.80x = 529.86 × 265.94
  4. Step 4: Simplify right side
    383.80x = 140,910.97
  5. Step 5: Solve for x
    x = 140,910.97/383.80
  6. Step 6: Final answer
    x = 367.15

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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.