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Finding the Fourth Proportional to 519.50, 778.64 and 464.82

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Solution

The fourth proportional to 519.50, 778.64 and 464.82 is: 696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 778.64 = 464.82 : x
  2. Step 2: Convert to fraction form
    519.50/778.64 = 464.82/x
  3. Step 3: Cross multiply
    519.50x = 778.64 × 464.82
  4. Step 4: Simplify right side
    519.50x = 361,925.12
  5. Step 5: Solve for x
    x = 361,925.12/519.50
  6. Step 6: Final answer
    x = 696.69

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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.