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Finding the Fourth Proportional to 431.46, 647.24 and 157.59

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Solution

The fourth proportional to 431.46, 647.24 and 157.59 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 647.24 = 157.59 : x
  2. Step 2: Convert to fraction form
    431.46/647.24 = 157.59/x
  3. Step 3: Cross multiply
    431.46x = 647.24 × 157.59
  4. Step 4: Simplify right side
    431.46x = 101,997.76
  5. Step 5: Solve for x
    x = 101,997.76/431.46
  6. Step 6: Final answer
    x = 236.40

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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.