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Finding the Fourth Proportional to 432.15, 648.41 and 345.39

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Solution

The fourth proportional to 432.15, 648.41 and 345.39 is: 518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.15 : 648.41 = 345.39 : x
  2. Step 2: Convert to fraction form
    432.15/648.41 = 345.39/x
  3. Step 3: Cross multiply
    432.15x = 648.41 × 345.39
  4. Step 4: Simplify right side
    432.15x = 223,952.60
  5. Step 5: Solve for x
    x = 223,952.60/432.15
  6. Step 6: Final answer
    x = 518.23

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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.