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Finding the Fourth Proportional to 814.96, 1,222.74 and 328.35

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Solution

The fourth proportional to 814.96, 1,222.74 and 328.35 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,222.74 = 328.35 : x
  2. Step 2: Convert to fraction form
    814.96/1,222.74 = 328.35/x
  3. Step 3: Cross multiply
    814.96x = 1,222.74 × 328.35
  4. Step 4: Simplify right side
    814.96x = 401,486.68
  5. Step 5: Solve for x
    x = 401,486.68/814.96
  6. Step 6: Final answer
    x = 492.65

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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.