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Finding the Fourth Proportional to 664.88, 917.44 and 370.06

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Solution

The fourth proportional to 664.88, 917.44 and 370.06 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 917.44 = 370.06 : x
  2. Step 2: Convert to fraction form
    664.88/917.44 = 370.06/x
  3. Step 3: Cross multiply
    664.88x = 917.44 × 370.06
  4. Step 4: Simplify right side
    664.88x = 339,507.85
  5. Step 5: Solve for x
    x = 339,507.85/664.88
  6. Step 6: Final answer
    x = 510.63

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