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Finding the Fourth Proportional to 431.66, 647.36 and 187.94

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Solution

The fourth proportional to 431.66, 647.36 and 187.94 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.66 : 647.36 = 187.94 : x
  2. Step 2: Convert to fraction form
    431.66/647.36 = 187.94/x
  3. Step 3: Cross multiply
    431.66x = 647.36 × 187.94
  4. Step 4: Simplify right side
    431.66x = 121,663.90
  5. Step 5: Solve for x
    x = 121,663.90/431.66
  6. Step 6: Final answer
    x = 281.85

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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.