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Finding the Fourth Proportional to 415.93, 574.04 and 250.23

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Solution

The fourth proportional to 415.93, 574.04 and 250.23 is: 345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.93 : 574.04 = 250.23 : x
  2. Step 2: Convert to fraction form
    415.93/574.04 = 250.23/x
  3. Step 3: Cross multiply
    415.93x = 574.04 × 250.23
  4. Step 4: Simplify right side
    415.93x = 143,642.03
  5. Step 5: Solve for x
    x = 143,642.03/415.93
  6. Step 6: Final answer
    x = 345.35

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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.