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Finding the Fourth Proportional to 455.99, 684.15 and 224.86

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Solution

The fourth proportional to 455.99, 684.15 and 224.86 is: 337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.99 : 684.15 = 224.86 : x
  2. Step 2: Convert to fraction form
    455.99/684.15 = 224.86/x
  3. Step 3: Cross multiply
    455.99x = 684.15 × 224.86
  4. Step 4: Simplify right side
    455.99x = 153,837.97
  5. Step 5: Solve for x
    x = 153,837.97/455.99
  6. Step 6: Final answer
    x = 337.37

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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.