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Finding the Fourth Proportional to 482.82, 723.47 and 329.06

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Solution

The fourth proportional to 482.82, 723.47 and 329.06 is: 493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 723.47 = 329.06 : x
  2. Step 2: Convert to fraction form
    482.82/723.47 = 329.06/x
  3. Step 3: Cross multiply
    482.82x = 723.47 × 329.06
  4. Step 4: Simplify right side
    482.82x = 238,059.78
  5. Step 5: Solve for x
    x = 238,059.78/482.82
  6. Step 6: Final answer
    x = 493.06

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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.