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Finding the Fourth Proportional to 665.09, 917.81 and 370.34

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Solution

The fourth proportional to 665.09, 917.81 and 370.34 is: 511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.09 : 917.81 = 370.34 : x
  2. Step 2: Convert to fraction form
    665.09/917.81 = 370.34/x
  3. Step 3: Cross multiply
    665.09x = 917.81 × 370.34
  4. Step 4: Simplify right side
    665.09x = 339,895.31
  5. Step 5: Solve for x
    x = 339,895.31/665.09
  6. Step 6: Final answer
    x = 511.06

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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.