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Finding the Fourth Proportional to 814.96, 1,222.84 and 328.36

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Solution

The fourth proportional to 814.96, 1,222.84 and 328.36 is: 492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,222.84 = 328.36 : x
  2. Step 2: Convert to fraction form
    814.96/1,222.84 = 328.36/x
  3. Step 3: Cross multiply
    814.96x = 1,222.84 × 328.36
  4. Step 4: Simplify right side
    814.96x = 401,531.74
  5. Step 5: Solve for x
    x = 401,531.74/814.96
  6. Step 6: Final answer
    x = 492.70

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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.