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Finding the Fourth Proportional to 662.85, 914.81 and 414.45

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Solution

The fourth proportional to 662.85, 914.81 and 414.45 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.85 : 914.81 = 414.45 : x
  2. Step 2: Convert to fraction form
    662.85/914.81 = 414.45/x
  3. Step 3: Cross multiply
    662.85x = 914.81 × 414.45
  4. Step 4: Simplify right side
    662.85x = 379,140.93
  5. Step 5: Solve for x
    x = 379,140.93/662.85
  6. Step 6: Final answer
    x = 571.99

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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.