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Finding the Fourth Proportional to 432.60, 648.90 and 259.80

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Solution

The fourth proportional to 432.60, 648.90 and 259.80 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 648.90 = 259.80 : x
  2. Step 2: Convert to fraction form
    432.60/648.90 = 259.80/x
  3. Step 3: Cross multiply
    432.60x = 648.90 × 259.80
  4. Step 4: Simplify right side
    432.60x = 168,584.22
  5. Step 5: Solve for x
    x = 168,584.22/432.60
  6. Step 6: Final answer
    x = 389.70

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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.