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Finding the Fourth Proportional to 490.52, 735.88 and 216.64

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Solution

The fourth proportional to 490.52, 735.88 and 216.64 is: 325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.52 : 735.88 = 216.64 : x
  2. Step 2: Convert to fraction form
    490.52/735.88 = 216.64/x
  3. Step 3: Cross multiply
    490.52x = 735.88 × 216.64
  4. Step 4: Simplify right side
    490.52x = 159,421.04
  5. Step 5: Solve for x
    x = 159,421.04/490.52
  6. Step 6: Final answer
    x = 325.00

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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.