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Finding the Fourth Proportional to 309.45, 466.00 and 223.39

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Solution

The fourth proportional to 309.45, 466.00 and 223.39 is: 336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 466.00 = 223.39 : x
  2. Step 2: Convert to fraction form
    309.45/466.00 = 223.39/x
  3. Step 3: Cross multiply
    309.45x = 466.00 × 223.39
  4. Step 4: Simplify right side
    309.45x = 104,097.60
  5. Step 5: Solve for x
    x = 104,097.60/309.45
  6. Step 6: Final answer
    x = 336.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.