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Finding the Fourth Proportional to 532.06, 796.20 and 445.48

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Solution

The fourth proportional to 532.06, 796.20 and 445.48 is: 666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 796.20 = 445.48 : x
  2. Step 2: Convert to fraction form
    532.06/796.20 = 445.48/x
  3. Step 3: Cross multiply
    532.06x = 796.20 × 445.48
  4. Step 4: Simplify right side
    532.06x = 354,691.18
  5. Step 5: Solve for x
    x = 354,691.18/532.06
  6. Step 6: Final answer
    x = 666.64

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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.