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Finding the Fourth Proportional to 431.76, 647.24 and 157.71

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Solution

The fourth proportional to 431.76, 647.24 and 157.71 is: 236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 647.24 = 157.71 : x
  2. Step 2: Convert to fraction form
    431.76/647.24 = 157.71/x
  3. Step 3: Cross multiply
    431.76x = 647.24 × 157.71
  4. Step 4: Simplify right side
    431.76x = 102,075.43
  5. Step 5: Solve for x
    x = 102,075.43/431.76
  6. Step 6: Final answer
    x = 236.42

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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.