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Finding the Fourth Proportional to 519.66, 779.48 and 417.59

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Solution

The fourth proportional to 519.66, 779.48 and 417.59 is: 626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.66 : 779.48 = 417.59 : x
  2. Step 2: Convert to fraction form
    519.66/779.48 = 417.59/x
  3. Step 3: Cross multiply
    519.66x = 779.48 × 417.59
  4. Step 4: Simplify right side
    519.66x = 325,497.07
  5. Step 5: Solve for x
    x = 325,497.07/519.66
  6. Step 6: Final answer
    x = 626.37

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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.