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Finding the Fourth Proportional to 652.09, 977.95 and 327.37

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Solution

The fourth proportional to 652.09, 977.95 and 327.37 is: 490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.09 : 977.95 = 327.37 : x
  2. Step 2: Convert to fraction form
    652.09/977.95 = 327.37/x
  3. Step 3: Cross multiply
    652.09x = 977.95 × 327.37
  4. Step 4: Simplify right side
    652.09x = 320,151.49
  5. Step 5: Solve for x
    x = 320,151.49/652.09
  6. Step 6: Final answer
    x = 490.96

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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.