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Finding the Fourth Proportional to 660.51, 911.66 and 427.23

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Solution

The fourth proportional to 660.51, 911.66 and 427.23 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.51 : 911.66 = 427.23 : x
  2. Step 2: Convert to fraction form
    660.51/911.66 = 427.23/x
  3. Step 3: Cross multiply
    660.51x = 911.66 × 427.23
  4. Step 4: Simplify right side
    660.51x = 389,486.37
  5. Step 5: Solve for x
    x = 389,486.37/660.51
  6. Step 6: Final answer
    x = 589.68

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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.