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Finding the Fourth Proportional to 652.38, 977.85 and 327.54

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Solution

The fourth proportional to 652.38, 977.85 and 327.54 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 977.85 = 327.54 : x
  2. Step 2: Convert to fraction form
    652.38/977.85 = 327.54/x
  3. Step 3: Cross multiply
    652.38x = 977.85 × 327.54
  4. Step 4: Simplify right side
    652.38x = 320,284.99
  5. Step 5: Solve for x
    x = 320,284.99/652.38
  6. Step 6: Final answer
    x = 490.95

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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.