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Finding the Fourth Proportional to 416.02, 574.10 and 250.23

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Solution

The fourth proportional to 416.02, 574.10 and 250.23 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 574.10 = 250.23 : x
  2. Step 2: Convert to fraction form
    416.02/574.10 = 250.23/x
  3. Step 3: Cross multiply
    416.02x = 574.10 × 250.23
  4. Step 4: Simplify right side
    416.02x = 143,654.58
  5. Step 5: Solve for x
    x = 143,654.58/416.02
  6. Step 6: Final answer
    x = 345.31

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Why These Related Problems?

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