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Finding the Fourth Proportional to 662.58, 914.76 and 414.05

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Solution

The fourth proportional to 662.58, 914.76 and 414.05 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 914.76 = 414.05 : x
  2. Step 2: Convert to fraction form
    662.58/914.76 = 414.05/x
  3. Step 3: Cross multiply
    662.58x = 914.76 × 414.05
  4. Step 4: Simplify right side
    662.58x = 378,751.80
  5. Step 5: Solve for x
    x = 378,751.80/662.58
  6. Step 6: Final answer
    x = 571.63

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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.