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Finding the Fourth Proportional to 431.96, 647.39 and 215.60

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Solution

The fourth proportional to 431.96, 647.39 and 215.60 is: 323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 647.39 = 215.60 : x
  2. Step 2: Convert to fraction form
    431.96/647.39 = 215.60/x
  3. Step 3: Cross multiply
    431.96x = 647.39 × 215.60
  4. Step 4: Simplify right side
    431.96x = 139,574.59
  5. Step 5: Solve for x
    x = 139,574.59/431.96
  6. Step 6: Final answer
    x = 323.12

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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.