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Finding the Fourth Proportional to 432.40, 648.16 and 277.88

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Solution

The fourth proportional to 432.40, 648.16 and 277.88 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 648.16 = 277.88 : x
  2. Step 2: Convert to fraction form
    432.40/648.16 = 277.88/x
  3. Step 3: Cross multiply
    432.40x = 648.16 × 277.88
  4. Step 4: Simplify right side
    432.40x = 180,110.70
  5. Step 5: Solve for x
    x = 180,110.70/432.40
  6. Step 6: Final answer
    x = 416.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.