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Finding the Fourth Proportional to 506.36, 700.62 and 441.08

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Solution

The fourth proportional to 506.36, 700.62 and 441.08 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 700.62 = 441.08 : x
  2. Step 2: Convert to fraction form
    506.36/700.62 = 441.08/x
  3. Step 3: Cross multiply
    506.36x = 700.62 × 441.08
  4. Step 4: Simplify right side
    506.36x = 309,029.47
  5. Step 5: Solve for x
    x = 309,029.47/506.36
  6. Step 6: Final answer
    x = 610.30

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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.