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Finding the Fourth Proportional to 665.68, 918.66 and 416.92

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Solution

The fourth proportional to 665.68, 918.66 and 416.92 is: 575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.68 : 918.66 = 416.92 : x
  2. Step 2: Convert to fraction form
    665.68/918.66 = 416.92/x
  3. Step 3: Cross multiply
    665.68x = 918.66 × 416.92
  4. Step 4: Simplify right side
    665.68x = 383,007.73
  5. Step 5: Solve for x
    x = 383,007.73/665.68
  6. Step 6: Final answer
    x = 575.36

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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.