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Finding the Fourth Proportional to 380.01, 524.41 and 205.35

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Solution

The fourth proportional to 380.01, 524.41 and 205.35 is: 283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.01 : 524.41 = 205.35 : x
  2. Step 2: Convert to fraction form
    380.01/524.41 = 205.35/x
  3. Step 3: Cross multiply
    380.01x = 524.41 × 205.35
  4. Step 4: Simplify right side
    380.01x = 107,690.69
  5. Step 5: Solve for x
    x = 107,690.69/380.01
  6. Step 6: Final answer
    x = 283.39

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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.