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Finding the Fourth Proportional to 665.52, 918.44 and 385.76

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Solution

The fourth proportional to 665.52, 918.44 and 385.76 is: 532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.52 : 918.44 = 385.76 : x
  2. Step 2: Convert to fraction form
    665.52/918.44 = 385.76/x
  3. Step 3: Cross multiply
    665.52x = 918.44 × 385.76
  4. Step 4: Simplify right side
    665.52x = 354,299.23
  5. Step 5: Solve for x
    x = 354,299.23/665.52
  6. Step 6: Final answer
    x = 532.37

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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.