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Finding the Fourth Proportional to 351.14, 527.38 and 214.45

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Solution

The fourth proportional to 351.14, 527.38 and 214.45 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.14 : 527.38 = 214.45 : x
  2. Step 2: Convert to fraction form
    351.14/527.38 = 214.45/x
  3. Step 3: Cross multiply
    351.14x = 527.38 × 214.45
  4. Step 4: Simplify right side
    351.14x = 113,094.79
  5. Step 5: Solve for x
    x = 113,094.79/351.14
  6. Step 6: Final answer
    x = 322.08

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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.