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Finding the Fourth Proportional to 380.82, 524.85 and 282.41

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Solution

The fourth proportional to 380.82, 524.85 and 282.41 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.82 : 524.85 = 282.41 : x
  2. Step 2: Convert to fraction form
    380.82/524.85 = 282.41/x
  3. Step 3: Cross multiply
    380.82x = 524.85 × 282.41
  4. Step 4: Simplify right side
    380.82x = 148,222.89
  5. Step 5: Solve for x
    x = 148,222.89/380.82
  6. Step 6: Final answer
    x = 389.22

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Why These Related Problems?

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