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Finding the Fourth Proportional to 647.68, 971.44 and 323.24

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Solution

The fourth proportional to 647.68, 971.44 and 323.24 is: 484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 971.44 = 323.24 : x
  2. Step 2: Convert to fraction form
    647.68/971.44 = 323.24/x
  3. Step 3: Cross multiply
    647.68x = 971.44 × 323.24
  4. Step 4: Simplify right side
    647.68x = 314,008.27
  5. Step 5: Solve for x
    x = 314,008.27/647.68
  6. Step 6: Final answer
    x = 484.82

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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.