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Finding the Fourth Proportional to 431.09, 646.28 and 157.01

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Solution

The fourth proportional to 431.09, 646.28 and 157.01 is: 235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.09 : 646.28 = 157.01 : x
  2. Step 2: Convert to fraction form
    431.09/646.28 = 157.01/x
  3. Step 3: Cross multiply
    431.09x = 646.28 × 157.01
  4. Step 4: Simplify right side
    431.09x = 101,469.00
  5. Step 5: Solve for x
    x = 101,469.00/431.09
  6. Step 6: Final answer
    x = 235.38

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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.