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Finding the Fourth Proportional to 432.55, 648.83 and 189.02

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Solution

The fourth proportional to 432.55, 648.83 and 189.02 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.55 : 648.83 = 189.02 : x
  2. Step 2: Convert to fraction form
    432.55/648.83 = 189.02/x
  3. Step 3: Cross multiply
    432.55x = 648.83 × 189.02
  4. Step 4: Simplify right side
    432.55x = 122,638.60
  5. Step 5: Solve for x
    x = 122,638.60/432.55
  6. Step 6: Final answer
    x = 283.52

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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.