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Finding the Fourth Proportional to 619.78, 929.63 and 235.02

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Solution

The fourth proportional to 619.78, 929.63 and 235.02 is: 352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.78 : 929.63 = 235.02 : x
  2. Step 2: Convert to fraction form
    619.78/929.63 = 235.02/x
  3. Step 3: Cross multiply
    619.78x = 929.63 × 235.02
  4. Step 4: Simplify right side
    619.78x = 218,481.64
  5. Step 5: Solve for x
    x = 218,481.64/619.78
  6. Step 6: Final answer
    x = 352.51

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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.