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Finding the Fourth Proportional to 482.56, 723.84 and 238.98

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Solution

The fourth proportional to 482.56, 723.84 and 238.98 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.56 : 723.84 = 238.98 : x
  2. Step 2: Convert to fraction form
    482.56/723.84 = 238.98/x
  3. Step 3: Cross multiply
    482.56x = 723.84 × 238.98
  4. Step 4: Simplify right side
    482.56x = 172,983.28
  5. Step 5: Solve for x
    x = 172,983.28/482.56
  6. Step 6: Final answer
    x = 358.47

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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.