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Finding the Fourth Proportional to 651.97, 977.50 and 327.11

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Solution

The fourth proportional to 651.97, 977.50 and 327.11 is: 490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.97 : 977.50 = 327.11 : x
  2. Step 2: Convert to fraction form
    651.97/977.50 = 327.11/x
  3. Step 3: Cross multiply
    651.97x = 977.50 × 327.11
  4. Step 4: Simplify right side
    651.97x = 319,750.03
  5. Step 5: Solve for x
    x = 319,750.03/651.97
  6. Step 6: Final answer
    x = 490.44

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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.