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Finding the Fourth Proportional to 647.49, 971.20 and 236.59

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Solution

The fourth proportional to 647.49, 971.20 and 236.59 is: 354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.49 : 971.20 = 236.59 : x
  2. Step 2: Convert to fraction form
    647.49/971.20 = 236.59/x
  3. Step 3: Cross multiply
    647.49x = 971.20 × 236.59
  4. Step 4: Simplify right side
    647.49x = 229,776.21
  5. Step 5: Solve for x
    x = 229,776.21/647.49
  6. Step 6: Final answer
    x = 354.87

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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.