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Finding the Fourth Proportional to 665.10, 997.41 and 340.41

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Solution

The fourth proportional to 665.10, 997.41 and 340.41 is: 510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 997.41 = 340.41 : x
  2. Step 2: Convert to fraction form
    665.10/997.41 = 340.41/x
  3. Step 3: Cross multiply
    665.10x = 997.41 × 340.41
  4. Step 4: Simplify right side
    665.10x = 339,528.34
  5. Step 5: Solve for x
    x = 339,528.34/665.10
  6. Step 6: Final answer
    x = 510.49

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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.