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Finding the Fourth Proportional to 456.48, 685.32 and 441.90

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Solution

The fourth proportional to 456.48, 685.32 and 441.90 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 685.32 = 441.90 : x
  2. Step 2: Convert to fraction form
    456.48/685.32 = 441.90/x
  3. Step 3: Cross multiply
    456.48x = 685.32 × 441.90
  4. Step 4: Simplify right side
    456.48x = 302,842.91
  5. Step 5: Solve for x
    x = 302,842.91/456.48
  6. Step 6: Final answer
    x = 663.43

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Why These Related Problems?

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