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Finding the Fourth Proportional to 455.56, 683.04 and 301.30

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Solution

The fourth proportional to 455.56, 683.04 and 301.30 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.56 : 683.04 = 301.30 : x
  2. Step 2: Convert to fraction form
    455.56/683.04 = 301.30/x
  3. Step 3: Cross multiply
    455.56x = 683.04 × 301.30
  4. Step 4: Simplify right side
    455.56x = 205,799.95
  5. Step 5: Solve for x
    x = 205,799.95/455.56
  6. Step 6: Final answer
    x = 451.75

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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.