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Finding the Fourth Proportional to 661.40, 911.46 and 474.56

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Solution

The fourth proportional to 661.40, 911.46 and 474.56 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.40 : 911.46 = 474.56 : x
  2. Step 2: Convert to fraction form
    661.40/911.46 = 474.56/x
  3. Step 3: Cross multiply
    661.40x = 911.46 × 474.56
  4. Step 4: Simplify right side
    661.40x = 432,542.46
  5. Step 5: Solve for x
    x = 432,542.46/661.40
  6. Step 6: Final answer
    x = 653.98

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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.