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Finding the Fourth Proportional to 518.87, 713.93 and 448.70

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Solution

The fourth proportional to 518.87, 713.93 and 448.70 is: 617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.87 : 713.93 = 448.70 : x
  2. Step 2: Convert to fraction form
    518.87/713.93 = 448.70/x
  3. Step 3: Cross multiply
    518.87x = 713.93 × 448.70
  4. Step 4: Simplify right side
    518.87x = 320,339.93
  5. Step 5: Solve for x
    x = 320,339.93/518.87
  6. Step 6: Final answer
    x = 617.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.