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Finding the Fourth Proportional to 380.22, 525.06 and 281.94

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Solution

The fourth proportional to 380.22, 525.06 and 281.94 is: 389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 525.06 = 281.94 : x
  2. Step 2: Convert to fraction form
    380.22/525.06 = 281.94/x
  3. Step 3: Cross multiply
    380.22x = 525.06 × 281.94
  4. Step 4: Simplify right side
    380.22x = 148,035.42
  5. Step 5: Solve for x
    x = 148,035.42/380.22
  6. Step 6: Final answer
    x = 389.34

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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.