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Finding the Fourth Proportional to 518.23, 777.35 and 301.67

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Solution

The fourth proportional to 518.23, 777.35 and 301.67 is: 452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.23 : 777.35 = 301.67 : x
  2. Step 2: Convert to fraction form
    518.23/777.35 = 301.67/x
  3. Step 3: Cross multiply
    518.23x = 777.35 × 301.67
  4. Step 4: Simplify right side
    518.23x = 234,503.17
  5. Step 5: Solve for x
    x = 234,503.17/518.23
  6. Step 6: Final answer
    x = 452.51

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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.