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Finding the Fourth Proportional to 648.56, 972.12 and 263.36

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Solution

The fourth proportional to 648.56, 972.12 and 263.36 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 972.12 = 263.36 : x
  2. Step 2: Convert to fraction form
    648.56/972.12 = 263.36/x
  3. Step 3: Cross multiply
    648.56x = 972.12 × 263.36
  4. Step 4: Simplify right side
    648.56x = 256,017.52
  5. Step 5: Solve for x
    x = 256,017.52/648.56
  6. Step 6: Final answer
    x = 394.75

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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.