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Finding the Fourth Proportional to 416, 621.40 and 343.52

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Solution

The fourth proportional to 416, 621.40 and 343.52 is: 513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 621.40 = 343.52 : x
  2. Step 2: Convert to fraction form
    416/621.40 = 343.52/x
  3. Step 3: Cross multiply
    416x = 621.40 × 343.52
  4. Step 4: Simplify right side
    416x = 213,463.33
  5. Step 5: Solve for x
    x = 213,463.33/416
  6. Step 6: Final answer
    x = 513.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.