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Finding the Fourth Proportional to 431.85, 648.23 and 355.61

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Solution

The fourth proportional to 431.85, 648.23 and 355.61 is: 533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.85 : 648.23 = 355.61 : x
  2. Step 2: Convert to fraction form
    431.85/648.23 = 355.61/x
  3. Step 3: Cross multiply
    431.85x = 648.23 × 355.61
  4. Step 4: Simplify right side
    431.85x = 230,517.07
  5. Step 5: Solve for x
    x = 230,517.07/431.85
  6. Step 6: Final answer
    x = 533.79

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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.