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Finding the Fourth Proportional to 660.49, 989.15 and 428.11

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Solution

The fourth proportional to 660.49, 989.15 and 428.11 is: 641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.49 : 989.15 = 428.11 : x
  2. Step 2: Convert to fraction form
    660.49/989.15 = 428.11/x
  3. Step 3: Cross multiply
    660.49x = 989.15 × 428.11
  4. Step 4: Simplify right side
    660.49x = 423,460.39
  5. Step 5: Solve for x
    x = 423,460.39/660.49
  6. Step 6: Final answer
    x = 641.13

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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.