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Finding the Fourth Proportional to 376.44, 561.60 and 341.64

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Solution

The fourth proportional to 376.44, 561.60 and 341.64 is: 509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.44 : 561.60 = 341.64 : x
  2. Step 2: Convert to fraction form
    376.44/561.60 = 341.64/x
  3. Step 3: Cross multiply
    376.44x = 561.60 × 341.64
  4. Step 4: Simplify right side
    376.44x = 191,865.02
  5. Step 5: Solve for x
    x = 191,865.02/376.44
  6. Step 6: Final answer
    x = 509.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.