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Finding the Fourth Proportional to 455.06, 681.41 and 381.76

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Solution

The fourth proportional to 455.06, 681.41 and 381.76 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 681.41 = 381.76 : x
  2. Step 2: Convert to fraction form
    455.06/681.41 = 381.76/x
  3. Step 3: Cross multiply
    455.06x = 681.41 × 381.76
  4. Step 4: Simplify right side
    455.06x = 260,134.33
  5. Step 5: Solve for x
    x = 260,134.33/455.06
  6. Step 6: Final answer
    x = 571.65

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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.