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Finding the Fourth Proportional to 351.59, 526.83 and 214.56

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Solution

The fourth proportional to 351.59, 526.83 and 214.56 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.59 : 526.83 = 214.56 : x
  2. Step 2: Convert to fraction form
    351.59/526.83 = 214.56/x
  3. Step 3: Cross multiply
    351.59x = 526.83 × 214.56
  4. Step 4: Simplify right side
    351.59x = 113,036.64
  5. Step 5: Solve for x
    x = 113,036.64/351.59
  6. Step 6: Final answer
    x = 321.51

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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.