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Finding the Fourth Proportional to 376.65, 567 and 342.63

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Solution

The fourth proportional to 376.65, 567 and 342.63 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.65 : 567 = 342.63 : x
  2. Step 2: Convert to fraction form
    376.65/567 = 342.63/x
  3. Step 3: Cross multiply
    376.65x = 567 × 342.63
  4. Step 4: Simplify right side
    376.65x = 194,271.21
  5. Step 5: Solve for x
    x = 194,271.21/376.65
  6. Step 6: Final answer
    x = 515.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.