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Finding the Fourth Proportional to 453.03, 678.96 and 236.76

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Solution

The fourth proportional to 453.03, 678.96 and 236.76 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.03 : 678.96 = 236.76 : x
  2. Step 2: Convert to fraction form
    453.03/678.96 = 236.76/x
  3. Step 3: Cross multiply
    453.03x = 678.96 × 236.76
  4. Step 4: Simplify right side
    453.03x = 160,750.57
  5. Step 5: Solve for x
    x = 160,750.57/453.03
  6. Step 6: Final answer
    x = 354.83

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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.