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Finding the Fourth Proportional to 455.30, 680.94 and 406.94

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Solution

The fourth proportional to 455.30, 680.94 and 406.94 is: 608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 680.94 = 406.94 : x
  2. Step 2: Convert to fraction form
    455.30/680.94 = 406.94/x
  3. Step 3: Cross multiply
    455.30x = 680.94 × 406.94
  4. Step 4: Simplify right side
    455.30x = 277,101.72
  5. Step 5: Solve for x
    x = 277,101.72/455.30
  6. Step 6: Final answer
    x = 608.61

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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.