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Finding the Fourth Proportional to 376.71, 565.05 and 376.71

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Solution

The fourth proportional to 376.71, 565.05 and 376.71 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.71 : 565.05 = 376.71 : x
  2. Step 2: Convert to fraction form
    376.71/565.05 = 376.71/x
  3. Step 3: Cross multiply
    376.71x = 565.05 × 376.71
  4. Step 4: Simplify right side
    376.71x = 212,859.99
  5. Step 5: Solve for x
    x = 212,859.99/376.71
  6. Step 6: Final answer
    x = 565.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.