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Finding the Fourth Proportional to 665.43, 997.38 and 352.23

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Solution

The fourth proportional to 665.43, 997.38 and 352.23 is: 527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.43 : 997.38 = 352.23 : x
  2. Step 2: Convert to fraction form
    665.43/997.38 = 352.23/x
  3. Step 3: Cross multiply
    665.43x = 997.38 × 352.23
  4. Step 4: Simplify right side
    665.43x = 351,307.16
  5. Step 5: Solve for x
    x = 351,307.16/665.43
  6. Step 6: Final answer
    x = 527.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.