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Finding the Fourth Proportional to 660.04, 989.69 and 270.32

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Solution

The fourth proportional to 660.04, 989.69 and 270.32 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.04 : 989.69 = 270.32 : x
  2. Step 2: Convert to fraction form
    660.04/989.69 = 270.32/x
  3. Step 3: Cross multiply
    660.04x = 989.69 × 270.32
  4. Step 4: Simplify right side
    660.04x = 267,529.23
  5. Step 5: Solve for x
    x = 267,529.23/660.04
  6. Step 6: Final answer
    x = 405.32

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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.