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Finding the Fourth Proportional to 525.44, 788.16 and 282.24

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Solution

The fourth proportional to 525.44, 788.16 and 282.24 is: 423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 788.16 = 282.24 : x
  2. Step 2: Convert to fraction form
    525.44/788.16 = 282.24/x
  3. Step 3: Cross multiply
    525.44x = 788.16 × 282.24
  4. Step 4: Simplify right side
    525.44x = 222,450.28
  5. Step 5: Solve for x
    x = 222,450.28/525.44
  6. Step 6: Final answer
    x = 423.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.