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Finding the Fourth Proportional to 324.24, 446.67 and 312

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Solution

The fourth proportional to 324.24, 446.67 and 312 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 446.67 = 312 : x
  2. Step 2: Convert to fraction form
    324.24/446.67 = 312/x
  3. Step 3: Cross multiply
    324.24x = 446.67 × 312
  4. Step 4: Simplify right side
    324.24x = 139,361.04
  5. Step 5: Solve for x
    x = 139,361.04/324.24
  6. Step 6: Final answer
    x = 429.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.