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Finding the Fourth Proportional to 664.87, 917.52 and 370.16

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Solution

The fourth proportional to 664.87, 917.52 and 370.16 is: 510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.87 : 917.52 = 370.16 : x
  2. Step 2: Convert to fraction form
    664.87/917.52 = 370.16/x
  3. Step 3: Cross multiply
    664.87x = 917.52 × 370.16
  4. Step 4: Simplify right side
    664.87x = 339,629.20
  5. Step 5: Solve for x
    x = 339,629.20/664.87
  6. Step 6: Final answer
    x = 510.82

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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.