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Finding the Fourth Proportional to 619.52, 929.60 and 424.80

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Solution

The fourth proportional to 619.52, 929.60 and 424.80 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.52 : 929.60 = 424.80 : x
  2. Step 2: Convert to fraction form
    619.52/929.60 = 424.80/x
  3. Step 3: Cross multiply
    619.52x = 929.60 × 424.80
  4. Step 4: Simplify right side
    619.52x = 394,894.08
  5. Step 5: Solve for x
    x = 394,894.08/619.52
  6. Step 6: Final answer
    x = 637.42

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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.