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Finding the Fourth Proportional to 455.30, 682.84 and 195.28

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Solution

The fourth proportional to 455.30, 682.84 and 195.28 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 682.84 = 195.28 : x
  2. Step 2: Convert to fraction form
    455.30/682.84 = 195.28/x
  3. Step 3: Cross multiply
    455.30x = 682.84 × 195.28
  4. Step 4: Simplify right side
    455.30x = 133,345.00
  5. Step 5: Solve for x
    x = 133,345.00/455.30
  6. Step 6: Final answer
    x = 292.87

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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.