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Finding the Fourth Proportional to 380.19, 524.66 and 205.53

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Solution

The fourth proportional to 380.19, 524.66 and 205.53 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 524.66 = 205.53 : x
  2. Step 2: Convert to fraction form
    380.19/524.66 = 205.53/x
  3. Step 3: Cross multiply
    380.19x = 524.66 × 205.53
  4. Step 4: Simplify right side
    380.19x = 107,833.37
  5. Step 5: Solve for x
    x = 107,833.37/380.19
  6. Step 6: Final answer
    x = 283.63

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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.