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Finding the Fourth Proportional to 519.84, 778.96 and 465.44

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Solution

The fourth proportional to 519.84, 778.96 and 465.44 is: 697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 778.96 = 465.44 : x
  2. Step 2: Convert to fraction form
    519.84/778.96 = 465.44/x
  3. Step 3: Cross multiply
    519.84x = 778.96 × 465.44
  4. Step 4: Simplify right side
    519.84x = 362,559.14
  5. Step 5: Solve for x
    x = 362,559.14/519.84
  6. Step 6: Final answer
    x = 697.44

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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.