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Finding the Fourth Proportional to 376.72, 519.60 and 293.74

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Solution

The fourth proportional to 376.72, 519.60 and 293.74 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.72 : 519.60 = 293.74 : x
  2. Step 2: Convert to fraction form
    376.72/519.60 = 293.74/x
  3. Step 3: Cross multiply
    376.72x = 519.60 × 293.74
  4. Step 4: Simplify right side
    376.72x = 152,627.30
  5. Step 5: Solve for x
    x = 152,627.30/376.72
  6. Step 6: Final answer
    x = 405.15

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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.