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Finding the Fourth Proportional to 648, 972.32 and 442.56

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Solution

The fourth proportional to 648, 972.32 and 442.56 is: 664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648 : 972.32 = 442.56 : x
  2. Step 2: Convert to fraction form
    648/972.32 = 442.56/x
  3. Step 3: Cross multiply
    648x = 972.32 × 442.56
  4. Step 4: Simplify right side
    648x = 430,309.94
  5. Step 5: Solve for x
    x = 430,309.94/648
  6. Step 6: Final answer
    x = 664.06

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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.