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Finding the Fourth Proportional to 515.01, 770.99 and 462.22

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Solution

The fourth proportional to 515.01, 770.99 and 462.22 is: 691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.01 : 770.99 = 462.22 : x
  2. Step 2: Convert to fraction form
    515.01/770.99 = 462.22/x
  3. Step 3: Cross multiply
    515.01x = 770.99 × 462.22
  4. Step 4: Simplify right side
    515.01x = 356,367.10
  5. Step 5: Solve for x
    x = 356,367.10/515.01
  6. Step 6: Final answer
    x = 691.96

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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.