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Finding the Fourth Proportional to 665.29, 997.56 and 275.07

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Solution

The fourth proportional to 665.29, 997.56 and 275.07 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.29 : 997.56 = 275.07 : x
  2. Step 2: Convert to fraction form
    665.29/997.56 = 275.07/x
  3. Step 3: Cross multiply
    665.29x = 997.56 × 275.07
  4. Step 4: Simplify right side
    665.29x = 274,398.83
  5. Step 5: Solve for x
    x = 274,398.83/665.29
  6. Step 6: Final answer
    x = 412.45

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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.