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Finding the Fourth Proportional to 662.96, 914.99 and 414.55

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Solution

The fourth proportional to 662.96, 914.99 and 414.55 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 914.99 = 414.55 : x
  2. Step 2: Convert to fraction form
    662.96/914.99 = 414.55/x
  3. Step 3: Cross multiply
    662.96x = 914.99 × 414.55
  4. Step 4: Simplify right side
    662.96x = 379,309.10
  5. Step 5: Solve for x
    x = 379,309.10/662.96
  6. Step 6: Final answer
    x = 572.14

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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.