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Finding the Fourth Proportional to 312.33, 468.36 and 296.94

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Solution

The fourth proportional to 312.33, 468.36 and 296.94 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.33 : 468.36 = 296.94 : x
  2. Step 2: Convert to fraction form
    312.33/468.36 = 296.94/x
  3. Step 3: Cross multiply
    312.33x = 468.36 × 296.94
  4. Step 4: Simplify right side
    312.33x = 139,074.82
  5. Step 5: Solve for x
    x = 139,074.82/312.33
  6. Step 6: Final answer
    x = 445.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.