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Finding the Fourth Proportional to 455.38, 682.93 and 195.31

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Solution

The fourth proportional to 455.38, 682.93 and 195.31 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.38 : 682.93 = 195.31 : x
  2. Step 2: Convert to fraction form
    455.38/682.93 = 195.31/x
  3. Step 3: Cross multiply
    455.38x = 682.93 × 195.31
  4. Step 4: Simplify right side
    455.38x = 133,384.28
  5. Step 5: Solve for x
    x = 133,384.28/455.38
  6. Step 6: Final answer
    x = 292.91

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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.