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Finding the Fourth Proportional to 514.85, 770.58 and 466.88

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Solution

The fourth proportional to 514.85, 770.58 and 466.88 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.85 : 770.58 = 466.88 : x
  2. Step 2: Convert to fraction form
    514.85/770.58 = 466.88/x
  3. Step 3: Cross multiply
    514.85x = 770.58 × 466.88
  4. Step 4: Simplify right side
    514.85x = 359,764.54
  5. Step 5: Solve for x
    x = 359,764.54/514.85
  6. Step 6: Final answer
    x = 698.78

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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.