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Finding the Fourth Proportional to 482.05, 723.53 and 238.74

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Solution

The fourth proportional to 482.05, 723.53 and 238.74 is: 358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.05 : 723.53 = 238.74 : x
  2. Step 2: Convert to fraction form
    482.05/723.53 = 238.74/x
  3. Step 3: Cross multiply
    482.05x = 723.53 × 238.74
  4. Step 4: Simplify right side
    482.05x = 172,735.55
  5. Step 5: Solve for x
    x = 172,735.55/482.05
  6. Step 6: Final answer
    x = 358.34

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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.