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Finding the Fourth Proportional to 506.98, 699.36 and 359.35

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Solution

The fourth proportional to 506.98, 699.36 and 359.35 is: 495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 699.36 = 359.35 : x
  2. Step 2: Convert to fraction form
    506.98/699.36 = 359.35/x
  3. Step 3: Cross multiply
    506.98x = 699.36 × 359.35
  4. Step 4: Simplify right side
    506.98x = 251,315.02
  5. Step 5: Solve for x
    x = 251,315.02/506.98
  6. Step 6: Final answer
    x = 495.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.