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Finding the Fourth Proportional to 431.42, 646.74 and 157.31

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Solution

The fourth proportional to 431.42, 646.74 and 157.31 is: 235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 646.74 = 157.31 : x
  2. Step 2: Convert to fraction form
    431.42/646.74 = 157.31/x
  3. Step 3: Cross multiply
    431.42x = 646.74 × 157.31
  4. Step 4: Simplify right side
    431.42x = 101,740.91
  5. Step 5: Solve for x
    x = 101,740.91/431.42
  6. Step 6: Final answer
    x = 235.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.