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Finding the Fourth Proportional to 456.15, 680.50 and 443.59

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Solution

The fourth proportional to 456.15, 680.50 and 443.59 is: 661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.15 : 680.50 = 443.59 : x
  2. Step 2: Convert to fraction form
    456.15/680.50 = 443.59/x
  3. Step 3: Cross multiply
    456.15x = 680.50 × 443.59
  4. Step 4: Simplify right side
    456.15x = 301,861.89
  5. Step 5: Solve for x
    x = 301,861.89/456.15
  6. Step 6: Final answer
    x = 661.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.