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Finding the Fourth Proportional to 665.57, 918.36 and 385.80

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Solution

The fourth proportional to 665.57, 918.36 and 385.80 is: 532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.57 : 918.36 = 385.80 : x
  2. Step 2: Convert to fraction form
    665.57/918.36 = 385.80/x
  3. Step 3: Cross multiply
    665.57x = 918.36 × 385.80
  4. Step 4: Simplify right side
    665.57x = 354,303.29
  5. Step 5: Solve for x
    x = 354,303.29/665.57
  6. Step 6: Final answer
    x = 532.33

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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.