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Finding the Fourth Proportional to 648.75, 973.25 and 306.75

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Solution

The fourth proportional to 648.75, 973.25 and 306.75 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 973.25 = 306.75 : x
  2. Step 2: Convert to fraction form
    648.75/973.25 = 306.75/x
  3. Step 3: Cross multiply
    648.75x = 973.25 × 306.75
  4. Step 4: Simplify right side
    648.75x = 298,542.90
  5. Step 5: Solve for x
    x = 298,542.90/648.75
  6. Step 6: Final answer
    x = 460.18

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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.