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Finding the Fourth Proportional to 662.80, 914.48 and 414.32

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Solution

The fourth proportional to 662.80, 914.48 and 414.32 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.80 : 914.48 = 414.32 : x
  2. Step 2: Convert to fraction form
    662.80/914.48 = 414.32/x
  3. Step 3: Cross multiply
    662.80x = 914.48 × 414.32
  4. Step 4: Simplify right side
    662.80x = 378,887.35
  5. Step 5: Solve for x
    x = 378,887.35/662.80
  6. Step 6: Final answer
    x = 571.65

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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.