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Finding the Fourth Proportional to 431.46, 647.28 and 157.62

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Solution

The fourth proportional to 431.46, 647.28 and 157.62 is: 236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 647.28 = 157.62 : x
  2. Step 2: Convert to fraction form
    431.46/647.28 = 157.62/x
  3. Step 3: Cross multiply
    431.46x = 647.28 × 157.62
  4. Step 4: Simplify right side
    431.46x = 102,024.27
  5. Step 5: Solve for x
    x = 102,024.27/431.46
  6. Step 6: Final answer
    x = 236.46

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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.