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Finding the Fourth Proportional to 482.31, 723.50 and 157.71

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Solution

The fourth proportional to 482.31, 723.50 and 157.71 is: 236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.31 : 723.50 = 157.71 : x
  2. Step 2: Convert to fraction form
    482.31/723.50 = 157.71/x
  3. Step 3: Cross multiply
    482.31x = 723.50 × 157.71
  4. Step 4: Simplify right side
    482.31x = 114,102.40
  5. Step 5: Solve for x
    x = 114,102.40/482.31
  6. Step 6: Final answer
    x = 236.57

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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.