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Finding the Fourth Proportional to 455.07, 681.09 and 414.60

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Solution

The fourth proportional to 455.07, 681.09 and 414.60 is: 620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.07 : 681.09 = 414.60 : x
  2. Step 2: Convert to fraction form
    455.07/681.09 = 414.60/x
  3. Step 3: Cross multiply
    455.07x = 681.09 × 414.60
  4. Step 4: Simplify right side
    455.07x = 282,379.91
  5. Step 5: Solve for x
    x = 282,379.91/455.07
  6. Step 6: Final answer
    x = 620.52

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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.