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Finding the Fourth Proportional to 454.75, 681.81 and 259.81

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Solution

The fourth proportional to 454.75, 681.81 and 259.81 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.75 : 681.81 = 259.81 : x
  2. Step 2: Convert to fraction form
    454.75/681.81 = 259.81/x
  3. Step 3: Cross multiply
    454.75x = 681.81 × 259.81
  4. Step 4: Simplify right side
    454.75x = 177,141.06
  5. Step 5: Solve for x
    x = 177,141.06/454.75
  6. Step 6: Final answer
    x = 389.54

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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.