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Finding the Fourth Proportional to 519.24, 774.84 and 464.76

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Solution

The fourth proportional to 519.24, 774.84 and 464.76 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.24 : 774.84 = 464.76 : x
  2. Step 2: Convert to fraction form
    519.24/774.84 = 464.76/x
  3. Step 3: Cross multiply
    519.24x = 774.84 × 464.76
  4. Step 4: Simplify right side
    519.24x = 360,114.64
  5. Step 5: Solve for x
    x = 360,114.64/519.24
  6. Step 6: Final answer
    x = 693.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.