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Finding the Fourth Proportional to 648.91, 973.91 and 264.43

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Solution

The fourth proportional to 648.91, 973.91 and 264.43 is: 396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.91 : 973.91 = 264.43 : x
  2. Step 2: Convert to fraction form
    648.91/973.91 = 264.43/x
  3. Step 3: Cross multiply
    648.91x = 973.91 × 264.43
  4. Step 4: Simplify right side
    648.91x = 257,531.02
  5. Step 5: Solve for x
    x = 257,531.02/648.91
  6. Step 6: Final answer
    x = 396.87

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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.