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Finding the Fourth Proportional to 556.56, 766.84 and 381.60

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Solution

The fourth proportional to 556.56, 766.84 and 381.60 is: 525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 766.84 = 381.60 : x
  2. Step 2: Convert to fraction form
    556.56/766.84 = 381.60/x
  3. Step 3: Cross multiply
    556.56x = 766.84 × 381.60
  4. Step 4: Simplify right side
    556.56x = 292,626.14
  5. Step 5: Solve for x
    x = 292,626.14/556.56
  6. Step 6: Final answer
    x = 525.78

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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.