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Finding the Fourth Proportional to 660.47, 990.43 and 295.43

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Solution

The fourth proportional to 660.47, 990.43 and 295.43 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.47 : 990.43 = 295.43 : x
  2. Step 2: Convert to fraction form
    660.47/990.43 = 295.43/x
  3. Step 3: Cross multiply
    660.47x = 990.43 × 295.43
  4. Step 4: Simplify right side
    660.47x = 292,597.04
  5. Step 5: Solve for x
    x = 292,597.04/660.47
  6. Step 6: Final answer
    x = 443.02

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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.