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Finding the Fourth Proportional to 665.34, 918.17 and 370.64

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Solution

The fourth proportional to 665.34, 918.17 and 370.64 is: 511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 918.17 = 370.64 : x
  2. Step 2: Convert to fraction form
    665.34/918.17 = 370.64/x
  3. Step 3: Cross multiply
    665.34x = 918.17 × 370.64
  4. Step 4: Simplify right side
    665.34x = 340,310.53
  5. Step 5: Solve for x
    x = 340,310.53/665.34
  6. Step 6: Final answer
    x = 511.48

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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.