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Finding the Fourth Proportional to 482.91, 723.66 and 361.08

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Solution

The fourth proportional to 482.91, 723.66 and 361.08 is: 541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.91 : 723.66 = 361.08 : x
  2. Step 2: Convert to fraction form
    482.91/723.66 = 361.08/x
  3. Step 3: Cross multiply
    482.91x = 723.66 × 361.08
  4. Step 4: Simplify right side
    482.91x = 261,299.15
  5. Step 5: Solve for x
    x = 261,299.15/482.91
  6. Step 6: Final answer
    x = 541.09

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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.