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Finding the Fourth Proportional to 648.56, 973.05 and 388.52

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Solution

The fourth proportional to 648.56, 973.05 and 388.52 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 973.05 = 388.52 : x
  2. Step 2: Convert to fraction form
    648.56/973.05 = 388.52/x
  3. Step 3: Cross multiply
    648.56x = 973.05 × 388.52
  4. Step 4: Simplify right side
    648.56x = 378,049.39
  5. Step 5: Solve for x
    x = 378,049.39/648.56
  6. Step 6: Final answer
    x = 582.91

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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.