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Finding the Fourth Proportional to 651.96, 978.12 and 327.24

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Solution

The fourth proportional to 651.96, 978.12 and 327.24 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.96 : 978.12 = 327.24 : x
  2. Step 2: Convert to fraction form
    651.96/978.12 = 327.24/x
  3. Step 3: Cross multiply
    651.96x = 978.12 × 327.24
  4. Step 4: Simplify right side
    651.96x = 320,079.99
  5. Step 5: Solve for x
    x = 320,079.99/651.96
  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.