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Finding the Fourth Proportional to 525.92, 788.64 and 282.56

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Solution

The fourth proportional to 525.92, 788.64 and 282.56 is: 423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.92 : 788.64 = 282.56 : x
  2. Step 2: Convert to fraction form
    525.92/788.64 = 282.56/x
  3. Step 3: Cross multiply
    525.92x = 788.64 × 282.56
  4. Step 4: Simplify right side
    525.92x = 222,838.12
  5. Step 5: Solve for x
    x = 222,838.12/525.92
  6. Step 6: Final answer
    x = 423.71

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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.