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Finding the Fourth Proportional to 380.53, 525.13 and 205.88

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Solution

The fourth proportional to 380.53, 525.13 and 205.88 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 525.13 = 205.88 : x
  2. Step 2: Convert to fraction form
    380.53/525.13 = 205.88/x
  3. Step 3: Cross multiply
    380.53x = 525.13 × 205.88
  4. Step 4: Simplify right side
    380.53x = 108,111.78
  5. Step 5: Solve for x
    x = 108,111.78/380.53
  6. Step 6: Final answer
    x = 284.11

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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.