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Finding the Fourth Proportional to 665.24, 997.59 and 275.23

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Solution

The fourth proportional to 665.24, 997.59 and 275.23 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.24 : 997.59 = 275.23 : x
  2. Step 2: Convert to fraction form
    665.24/997.59 = 275.23/x
  3. Step 3: Cross multiply
    665.24x = 997.59 × 275.23
  4. Step 4: Simplify right side
    665.24x = 274,561.71
  5. Step 5: Solve for x
    x = 274,561.71/665.24
  6. Step 6: Final answer
    x = 412.73

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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.