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Finding the Fourth Proportional to 525.78, 788.28 and 282.60

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Solution

The fourth proportional to 525.78, 788.28 and 282.60 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 788.28 = 282.60 : x
  2. Step 2: Convert to fraction form
    525.78/788.28 = 282.60/x
  3. Step 3: Cross multiply
    525.78x = 788.28 × 282.60
  4. Step 4: Simplify right side
    525.78x = 222,767.93
  5. Step 5: Solve for x
    x = 222,767.93/525.78
  6. Step 6: Final answer
    x = 423.69

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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.