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Finding the Fourth Proportional to 376.40, 564.60 and 211.70

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Solution

The fourth proportional to 376.40, 564.60 and 211.70 is: 317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 564.60 = 211.70 : x
  2. Step 2: Convert to fraction form
    376.40/564.60 = 211.70/x
  3. Step 3: Cross multiply
    376.40x = 564.60 × 211.70
  4. Step 4: Simplify right side
    376.40x = 119,525.82
  5. Step 5: Solve for x
    x = 119,525.82/376.40
  6. Step 6: Final answer
    x = 317.55

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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.