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Finding the Fourth Proportional to 556.08, 834.04 and 214

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Solution

The fourth proportional to 556.08, 834.04 and 214 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 834.04 = 214 : x
  2. Step 2: Convert to fraction form
    556.08/834.04 = 214/x
  3. Step 3: Cross multiply
    556.08x = 834.04 × 214
  4. Step 4: Simplify right side
    556.08x = 178,484.56
  5. Step 5: Solve for x
    x = 178,484.56/556.08
  6. Step 6: Final answer
    x = 320.97

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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.