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Finding the Fourth Proportional to 647.72, 971.76 and 301.26

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Solution

The fourth proportional to 647.72, 971.76 and 301.26 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.72 : 971.76 = 301.26 : x
  2. Step 2: Convert to fraction form
    647.72/971.76 = 301.26/x
  3. Step 3: Cross multiply
    647.72x = 971.76 × 301.26
  4. Step 4: Simplify right side
    647.72x = 292,747.56
  5. Step 5: Solve for x
    x = 292,747.56/647.72
  6. Step 6: Final answer
    x = 451.97

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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.