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Finding the Fourth Proportional to 383.78, 577.78 and 262.82

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Solution

The fourth proportional to 383.78, 577.78 and 262.82 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 577.78 = 262.82 : x
  2. Step 2: Convert to fraction form
    383.78/577.78 = 262.82/x
  3. Step 3: Cross multiply
    383.78x = 577.78 × 262.82
  4. Step 4: Simplify right side
    383.78x = 151,852.14
  5. Step 5: Solve for x
    x = 151,852.14/383.78
  6. Step 6: Final answer
    x = 395.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.