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Finding the Fourth Proportional to 662.80, 914.16 and 400.54

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Solution

The fourth proportional to 662.80, 914.16 and 400.54 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.80 : 914.16 = 400.54 : x
  2. Step 2: Convert to fraction form
    662.80/914.16 = 400.54/x
  3. Step 3: Cross multiply
    662.80x = 914.16 × 400.54
  4. Step 4: Simplify right side
    662.80x = 366,157.65
  5. Step 5: Solve for x
    x = 366,157.65/662.80
  6. Step 6: Final answer
    x = 552.44

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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.