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Finding the Fourth Proportional to 455.66, 683.94 and 307.39

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Solution

The fourth proportional to 455.66, 683.94 and 307.39 is: 461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.66 : 683.94 = 307.39 : x
  2. Step 2: Convert to fraction form
    455.66/683.94 = 307.39/x
  3. Step 3: Cross multiply
    455.66x = 683.94 × 307.39
  4. Step 4: Simplify right side
    455.66x = 210,234.78
  5. Step 5: Solve for x
    x = 210,234.78/455.66
  6. Step 6: Final answer
    x = 461.39

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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.