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Finding the Fourth Proportional to 555.56, 765.96 and 380.60

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Solution

The fourth proportional to 555.56, 765.96 and 380.60 is: 524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.56 : 765.96 = 380.60 : x
  2. Step 2: Convert to fraction form
    555.56/765.96 = 380.60/x
  3. Step 3: Cross multiply
    555.56x = 765.96 × 380.60
  4. Step 4: Simplify right side
    555.56x = 291,524.38
  5. Step 5: Solve for x
    x = 291,524.38/555.56
  6. Step 6: Final answer
    x = 524.74

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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.