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Finding the Fourth Proportional to 519.90, 778.64 and 303.63

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Solution

The fourth proportional to 519.90, 778.64 and 303.63 is: 454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.90 : 778.64 = 303.63 : x
  2. Step 2: Convert to fraction form
    519.90/778.64 = 303.63/x
  3. Step 3: Cross multiply
    519.90x = 778.64 × 303.63
  4. Step 4: Simplify right side
    519.90x = 236,416.95
  5. Step 5: Solve for x
    x = 236,416.95/519.90
  6. Step 6: Final answer
    x = 454.74

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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.