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Finding the Fourth Proportional to 511.45, 705.76 and 331.67

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Solution

The fourth proportional to 511.45, 705.76 and 331.67 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 705.76 = 331.67 : x
  2. Step 2: Convert to fraction form
    511.45/705.76 = 331.67/x
  3. Step 3: Cross multiply
    511.45x = 705.76 × 331.67
  4. Step 4: Simplify right side
    511.45x = 234,080.35
  5. Step 5: Solve for x
    x = 234,080.35/511.45
  6. Step 6: Final answer
    x = 457.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.