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Finding the Fourth Proportional to 519.49, 775.29 and 464.77

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Solution

The fourth proportional to 519.49, 775.29 and 464.77 is: 693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 775.29 = 464.77 : x
  2. Step 2: Convert to fraction form
    519.49/775.29 = 464.77/x
  3. Step 3: Cross multiply
    519.49x = 775.29 × 464.77
  4. Step 4: Simplify right side
    519.49x = 360,331.53
  5. Step 5: Solve for x
    x = 360,331.53/519.49
  6. Step 6: Final answer
    x = 693.63

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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.