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Finding the Fourth Proportional to 376.77, 519.78 and 258.56

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Solution

The fourth proportional to 376.77, 519.78 and 258.56 is: 356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.77 : 519.78 = 258.56 : x
  2. Step 2: Convert to fraction form
    376.77/519.78 = 258.56/x
  3. Step 3: Cross multiply
    376.77x = 519.78 × 258.56
  4. Step 4: Simplify right side
    376.77x = 134,391.72
  5. Step 5: Solve for x
    x = 134,391.72/376.77
  6. Step 6: Final answer
    x = 356.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.