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Finding the Fourth Proportional to 381.41, 525.47 and 282.99

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Solution

The fourth proportional to 381.41, 525.47 and 282.99 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.41 : 525.47 = 282.99 : x
  2. Step 2: Convert to fraction form
    381.41/525.47 = 282.99/x
  3. Step 3: Cross multiply
    381.41x = 525.47 × 282.99
  4. Step 4: Simplify right side
    381.41x = 148,701.34
  5. Step 5: Solve for x
    x = 148,701.34/381.41
  6. Step 6: Final answer
    x = 389.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.