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Finding the Fourth Proportional to 506.82, 699.68 and 341.90

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Solution

The fourth proportional to 506.82, 699.68 and 341.90 is: 472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 699.68 = 341.90 : x
  2. Step 2: Convert to fraction form
    506.82/699.68 = 341.90/x
  3. Step 3: Cross multiply
    506.82x = 699.68 × 341.90
  4. Step 4: Simplify right side
    506.82x = 239,220.63
  5. Step 5: Solve for x
    x = 239,220.63/506.82
  6. Step 6: Final answer
    x = 472.00

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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.