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Finding the Fourth Proportional to 647.85, 971.49 and 236.88

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Solution

The fourth proportional to 647.85, 971.49 and 236.88 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.85 : 971.49 = 236.88 : x
  2. Step 2: Convert to fraction form
    647.85/971.49 = 236.88/x
  3. Step 3: Cross multiply
    647.85x = 971.49 × 236.88
  4. Step 4: Simplify right side
    647.85x = 230,126.55
  5. Step 5: Solve for x
    x = 230,126.55/647.85
  6. Step 6: Final answer
    x = 355.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.