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Finding the Fourth Proportional to 496.98, 686.07 and 349.74

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Solution

The fourth proportional to 496.98, 686.07 and 349.74 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.98 : 686.07 = 349.74 : x
  2. Step 2: Convert to fraction form
    496.98/686.07 = 349.74/x
  3. Step 3: Cross multiply
    496.98x = 686.07 × 349.74
  4. Step 4: Simplify right side
    496.98x = 239,946.12
  5. Step 5: Solve for x
    x = 239,946.12/496.98
  6. Step 6: Final answer
    x = 482.81

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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.