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Finding the Fourth Proportional to 660.33, 910.87 and 427.46

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Solution

The fourth proportional to 660.33, 910.87 and 427.46 is: 589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.33 : 910.87 = 427.46 : x
  2. Step 2: Convert to fraction form
    660.33/910.87 = 427.46/x
  3. Step 3: Cross multiply
    660.33x = 910.87 × 427.46
  4. Step 4: Simplify right side
    660.33x = 389,355.94
  5. Step 5: Solve for x
    x = 389,355.94/660.33
  6. Step 6: Final answer
    x = 589.64

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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.