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Finding the Fourth Proportional to 664.99, 917.63 and 370.24

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Solution

The fourth proportional to 664.99, 917.63 and 370.24 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.99 : 917.63 = 370.24 : x
  2. Step 2: Convert to fraction form
    664.99/917.63 = 370.24/x
  3. Step 3: Cross multiply
    664.99x = 917.63 × 370.24
  4. Step 4: Simplify right side
    664.99x = 339,743.33
  5. Step 5: Solve for x
    x = 339,743.33/664.99
  6. Step 6: Final answer
    x = 510.90

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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.