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Finding the Fourth Proportional to 665.94, 998.05 and 460.18

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Solution

The fourth proportional to 665.94, 998.05 and 460.18 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 998.05 = 460.18 : x
  2. Step 2: Convert to fraction form
    665.94/998.05 = 460.18/x
  3. Step 3: Cross multiply
    665.94x = 998.05 × 460.18
  4. Step 4: Simplify right side
    665.94x = 459,282.65
  5. Step 5: Solve for x
    x = 459,282.65/665.94
  6. Step 6: Final answer
    x = 689.68

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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.