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Finding the Fourth Proportional to 525.56, 788.92 and 282.02

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Solution

The fourth proportional to 525.56, 788.92 and 282.02 is: 423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 788.92 = 282.02 : x
  2. Step 2: Convert to fraction form
    525.56/788.92 = 282.02/x
  3. Step 3: Cross multiply
    525.56x = 788.92 × 282.02
  4. Step 4: Simplify right side
    525.56x = 222,491.22
  5. Step 5: Solve for x
    x = 222,491.22/525.56
  6. Step 6: Final answer
    x = 423.34

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Why These Related Problems?

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