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Finding the Fourth Proportional to 455.78, 683.82 and 412.94

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Solution

The fourth proportional to 455.78, 683.82 and 412.94 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.78 : 683.82 = 412.94 : x
  2. Step 2: Convert to fraction form
    455.78/683.82 = 412.94/x
  3. Step 3: Cross multiply
    455.78x = 683.82 × 412.94
  4. Step 4: Simplify right side
    455.78x = 282,376.63
  5. Step 5: Solve for x
    x = 282,376.63/455.78
  6. Step 6: Final answer
    x = 619.55

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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.