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Finding the Fourth Proportional to 455.48, 684.12 and 441.68

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Solution

The fourth proportional to 455.48, 684.12 and 441.68 is: 663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.48 : 684.12 = 441.68 : x
  2. Step 2: Convert to fraction form
    455.48/684.12 = 441.68/x
  3. Step 3: Cross multiply
    455.48x = 684.12 × 441.68
  4. Step 4: Simplify right side
    455.48x = 302,162.12
  5. Step 5: Solve for x
    x = 302,162.12/455.48
  6. Step 6: Final answer
    x = 663.39

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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.