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Finding the Fourth Proportional to 446.41, 670.07 and 324.30

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Solution

The fourth proportional to 446.41, 670.07 and 324.30 is: 486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.41 : 670.07 = 324.30 : x
  2. Step 2: Convert to fraction form
    446.41/670.07 = 324.30/x
  3. Step 3: Cross multiply
    446.41x = 670.07 × 324.30
  4. Step 4: Simplify right side
    446.41x = 217,307.02
  5. Step 5: Solve for x
    x = 217,307.02/446.41
  6. Step 6: Final answer
    x = 486.79

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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.