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Finding the Fourth Proportional to 648.23, 971.75 and 237.08

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Solution

The fourth proportional to 648.23, 971.75 and 237.08 is: 355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 971.75 = 237.08 : x
  2. Step 2: Convert to fraction form
    648.23/971.75 = 237.08/x
  3. Step 3: Cross multiply
    648.23x = 971.75 × 237.08
  4. Step 4: Simplify right side
    648.23x = 230,378.22
  5. Step 5: Solve for x
    x = 230,378.22/648.23
  6. Step 6: Final answer
    x = 355.40

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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.