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Finding the Fourth Proportional to 432.72, 647.57 and 311.22

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Solution

The fourth proportional to 432.72, 647.57 and 311.22 is: 465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 647.57 = 311.22 : x
  2. Step 2: Convert to fraction form
    432.72/647.57 = 311.22/x
  3. Step 3: Cross multiply
    432.72x = 647.57 × 311.22
  4. Step 4: Simplify right side
    432.72x = 201,535.18
  5. Step 5: Solve for x
    x = 201,535.18/432.72
  6. Step 6: Final answer
    x = 465.74

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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.