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Finding the Fourth Proportional to 660.73, 990.39 and 465.73

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Solution

The fourth proportional to 660.73, 990.39 and 465.73 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.73 : 990.39 = 465.73 : x
  2. Step 2: Convert to fraction form
    660.73/990.39 = 465.73/x
  3. Step 3: Cross multiply
    660.73x = 990.39 × 465.73
  4. Step 4: Simplify right side
    660.73x = 461,254.33
  5. Step 5: Solve for x
    x = 461,254.33/660.73
  6. Step 6: Final answer
    x = 698.10

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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.