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Finding the Fourth Proportional to 431.29, 646.52 and 171.21

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Solution

The fourth proportional to 431.29, 646.52 and 171.21 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.29 : 646.52 = 171.21 : x
  2. Step 2: Convert to fraction form
    431.29/646.52 = 171.21/x
  3. Step 3: Cross multiply
    431.29x = 646.52 × 171.21
  4. Step 4: Simplify right side
    431.29x = 110,686.60
  5. Step 5: Solve for x
    x = 110,686.60/431.29
  6. Step 6: Final answer
    x = 256.64

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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.