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Finding the Fourth Proportional to 525.12, 790.56 and 381.84

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Solution

The fourth proportional to 525.12, 790.56 and 381.84 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.12 : 790.56 = 381.84 : x
  2. Step 2: Convert to fraction form
    525.12/790.56 = 381.84/x
  3. Step 3: Cross multiply
    525.12x = 790.56 × 381.84
  4. Step 4: Simplify right side
    525.12x = 301,867.43
  5. Step 5: Solve for x
    x = 301,867.43/525.12
  6. Step 6: Final answer
    x = 574.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.