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Finding the Fourth Proportional to 432.21, 647.91 and 188.67

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Solution

The fourth proportional to 432.21, 647.91 and 188.67 is: 282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.21 : 647.91 = 188.67 : x
  2. Step 2: Convert to fraction form
    432.21/647.91 = 188.67/x
  3. Step 3: Cross multiply
    432.21x = 647.91 × 188.67
  4. Step 4: Simplify right side
    432.21x = 122,241.18
  5. Step 5: Solve for x
    x = 122,241.18/432.21
  6. Step 6: Final answer
    x = 282.83

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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.