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Finding the Fourth Proportional to 660.10, 911.00 and 494.00

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Solution

The fourth proportional to 660.10, 911.00 and 494.00 is: 681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 911.00 = 494.00 : x
  2. Step 2: Convert to fraction form
    660.10/911.00 = 494.00/x
  3. Step 3: Cross multiply
    660.10x = 911.00 × 494.00
  4. Step 4: Simplify right side
    660.10x = 450,031.32
  5. Step 5: Solve for x
    x = 450,031.32/660.10
  6. Step 6: Final answer
    x = 681.76

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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.