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Finding the Fourth Proportional to 432.11, 647.44 and 309.76

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Solution

The fourth proportional to 432.11, 647.44 and 309.76 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.11 : 647.44 = 309.76 : x
  2. Step 2: Convert to fraction form
    432.11/647.44 = 309.76/x
  3. Step 3: Cross multiply
    432.11x = 647.44 × 309.76
  4. Step 4: Simplify right side
    432.11x = 200,551.01
  5. Step 5: Solve for x
    x = 200,551.01/432.11
  6. Step 6: Final answer
    x = 464.12

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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.