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Finding the Fourth Proportional to 648.78, 972.93 and 215.82

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Solution

The fourth proportional to 648.78, 972.93 and 215.82 is: 323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 972.93 = 215.82 : x
  2. Step 2: Convert to fraction form
    648.78/972.93 = 215.82/x
  3. Step 3: Cross multiply
    648.78x = 972.93 × 215.82
  4. Step 4: Simplify right side
    648.78x = 209,977.75
  5. Step 5: Solve for x
    x = 209,977.75/648.78
  6. Step 6: Final answer
    x = 323.65

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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.