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Finding the Fourth Proportional to 482.19, 721.79 and 441.81

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Solution

The fourth proportional to 482.19, 721.79 and 441.81 is: 661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.19 : 721.79 = 441.81 : x
  2. Step 2: Convert to fraction form
    482.19/721.79 = 441.81/x
  3. Step 3: Cross multiply
    482.19x = 721.79 × 441.81
  4. Step 4: Simplify right side
    482.19x = 318,894.04
  5. Step 5: Solve for x
    x = 318,894.04/482.19
  6. Step 6: Final answer
    x = 661.35

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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.