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Finding the Fourth Proportional to 506.49, 699.62 and 401.69

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Solution

The fourth proportional to 506.49, 699.62 and 401.69 is: 554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 699.62 = 401.69 : x
  2. Step 2: Convert to fraction form
    506.49/699.62 = 401.69/x
  3. Step 3: Cross multiply
    506.49x = 699.62 × 401.69
  4. Step 4: Simplify right side
    506.49x = 281,024.85
  5. Step 5: Solve for x
    x = 281,024.85/506.49
  6. Step 6: Final answer
    x = 554.85

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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.