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Finding the Fourth Proportional to 519.48, 778.48 and 355.86

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Solution

The fourth proportional to 519.48, 778.48 and 355.86 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 778.48 = 355.86 : x
  2. Step 2: Convert to fraction form
    519.48/778.48 = 355.86/x
  3. Step 3: Cross multiply
    519.48x = 778.48 × 355.86
  4. Step 4: Simplify right side
    519.48x = 277,029.00
  5. Step 5: Solve for x
    x = 277,029.00/519.48
  6. Step 6: Final answer
    x = 533.28

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