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Finding the Fourth Proportional to 376.02, 564.23 and 214.02

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Solution

The fourth proportional to 376.02, 564.23 and 214.02 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.02 : 564.23 = 214.02 : x
  2. Step 2: Convert to fraction form
    376.02/564.23 = 214.02/x
  3. Step 3: Cross multiply
    376.02x = 564.23 × 214.02
  4. Step 4: Simplify right side
    376.02x = 120,756.50
  5. Step 5: Solve for x
    x = 120,756.50/376.02
  6. Step 6: Final answer
    x = 321.14

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Why These Related Problems?

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