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Finding the Fourth Proportional to 486.30, 729.68 and 446.20

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Solution

The fourth proportional to 486.30, 729.68 and 446.20 is: 669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 729.68 = 446.20 : x
  2. Step 2: Convert to fraction form
    486.30/729.68 = 446.20/x
  3. Step 3: Cross multiply
    486.30x = 729.68 × 446.20
  4. Step 4: Simplify right side
    486.30x = 325,583.22
  5. Step 5: Solve for x
    x = 325,583.22/486.30
  6. Step 6: Final answer
    x = 669.51

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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.