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Finding the Fourth Proportional to 621.80, 932.90 and 416.60

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Solution

The fourth proportional to 621.80, 932.90 and 416.60 is: 625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.80 : 932.90 = 416.60 : x
  2. Step 2: Convert to fraction form
    621.80/932.90 = 416.60/x
  3. Step 3: Cross multiply
    621.80x = 932.90 × 416.60
  4. Step 4: Simplify right side
    621.80x = 388,646.14
  5. Step 5: Solve for x
    x = 388,646.14/621.80
  6. Step 6: Final answer
    x = 625.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.