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Finding the Fourth Proportional to 455.58, 681.60 and 301.86

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Solution

The fourth proportional to 455.58, 681.60 and 301.86 is: 451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.58 : 681.60 = 301.86 : x
  2. Step 2: Convert to fraction form
    455.58/681.60 = 301.86/x
  3. Step 3: Cross multiply
    455.58x = 681.60 × 301.86
  4. Step 4: Simplify right side
    455.58x = 205,747.78
  5. Step 5: Solve for x
    x = 205,747.78/455.58
  6. Step 6: Final answer
    x = 451.62

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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.