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Finding the Fourth Proportional to 648.23, 972.33 and 237.35

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Solution

The fourth proportional to 648.23, 972.33 and 237.35 is: 356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 972.33 = 237.35 : x
  2. Step 2: Convert to fraction form
    648.23/972.33 = 237.35/x
  3. Step 3: Cross multiply
    648.23x = 972.33 × 237.35
  4. Step 4: Simplify right side
    648.23x = 230,784.96
  5. Step 5: Solve for x
    x = 230,784.96/648.23
  6. Step 6: Final answer
    x = 356.03

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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.