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Finding the Fourth Proportional to 496.50, 684.45 and 348.90

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Solution

The fourth proportional to 496.50, 684.45 and 348.90 is: 480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.50 : 684.45 = 348.90 : x
  2. Step 2: Convert to fraction form
    496.50/684.45 = 348.90/x
  3. Step 3: Cross multiply
    496.50x = 684.45 × 348.90
  4. Step 4: Simplify right side
    496.50x = 238,804.61
  5. Step 5: Solve for x
    x = 238,804.61/496.50
  6. Step 6: Final answer
    x = 480.98

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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.