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Finding the Fourth Proportional to 380.12, 525.53 and 287.35

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Solution

The fourth proportional to 380.12, 525.53 and 287.35 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 525.53 = 287.35 : x
  2. Step 2: Convert to fraction form
    380.12/525.53 = 287.35/x
  3. Step 3: Cross multiply
    380.12x = 525.53 × 287.35
  4. Step 4: Simplify right side
    380.12x = 151,010.45
  5. Step 5: Solve for x
    x = 151,010.45/380.12
  6. Step 6: Final answer
    x = 397.28

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