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Finding the Fourth Proportional to 519.44, 775.36 and 457.93

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Solution

The fourth proportional to 519.44, 775.36 and 457.93 is: 683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 775.36 = 457.93 : x
  2. Step 2: Convert to fraction form
    519.44/775.36 = 457.93/x
  3. Step 3: Cross multiply
    519.44x = 775.36 × 457.93
  4. Step 4: Simplify right side
    519.44x = 355,062.54
  5. Step 5: Solve for x
    x = 355,062.54/519.44
  6. Step 6: Final answer
    x = 683.55

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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.