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Finding the Fourth Proportional to 648.62, 972.96 and 264.14

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Solution

The fourth proportional to 648.62, 972.96 and 264.14 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 972.96 = 264.14 : x
  2. Step 2: Convert to fraction form
    648.62/972.96 = 264.14/x
  3. Step 3: Cross multiply
    648.62x = 972.96 × 264.14
  4. Step 4: Simplify right side
    648.62x = 256,997.65
  5. Step 5: Solve for x
    x = 256,997.65/648.62
  6. Step 6: Final answer
    x = 396.22

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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.