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Finding the Fourth Proportional to 647.93, 971.36 and 301.08

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Solution

The fourth proportional to 647.93, 971.36 and 301.08 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.93 : 971.36 = 301.08 : x
  2. Step 2: Convert to fraction form
    647.93/971.36 = 301.08/x
  3. Step 3: Cross multiply
    647.93x = 971.36 × 301.08
  4. Step 4: Simplify right side
    647.93x = 292,460.34
  5. Step 5: Solve for x
    x = 292,460.34/647.93
  6. Step 6: Final answer
    x = 451.37

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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.