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Finding the Fourth Proportional to 380.64, 525.28 and 205.98

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Solution

The fourth proportional to 380.64, 525.28 and 205.98 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 525.28 = 205.98 : x
  2. Step 2: Convert to fraction form
    380.64/525.28 = 205.98/x
  3. Step 3: Cross multiply
    380.64x = 525.28 × 205.98
  4. Step 4: Simplify right side
    380.64x = 108,197.15
  5. Step 5: Solve for x
    x = 108,197.15/380.64
  6. Step 6: Final answer
    x = 284.25

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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.