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Finding the Fourth Proportional to 648.10, 971.54 and 323.30

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Solution

The fourth proportional to 648.10, 971.54 and 323.30 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 971.54 = 323.30 : x
  2. Step 2: Convert to fraction form
    648.10/971.54 = 323.30/x
  3. Step 3: Cross multiply
    648.10x = 971.54 × 323.30
  4. Step 4: Simplify right side
    648.10x = 314,098.88
  5. Step 5: Solve for x
    x = 314,098.88/648.10
  6. Step 6: Final answer
    x = 484.65

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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.