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Finding the Fourth Proportional to 307.08, 423.34 and 213.68

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Solution

The fourth proportional to 307.08, 423.34 and 213.68 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 423.34 = 213.68 : x
  2. Step 2: Convert to fraction form
    307.08/423.34 = 213.68/x
  3. Step 3: Cross multiply
    307.08x = 423.34 × 213.68
  4. Step 4: Simplify right side
    307.08x = 90,459.29
  5. Step 5: Solve for x
    x = 90,459.29/307.08
  6. Step 6: Final answer
    x = 294.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.