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Finding the Fourth Proportional to 415.40, 573.26 and 249.53

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Solution

The fourth proportional to 415.40, 573.26 and 249.53 is: 344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 573.26 = 249.53 : x
  2. Step 2: Convert to fraction form
    415.40/573.26 = 249.53/x
  3. Step 3: Cross multiply
    415.40x = 573.26 × 249.53
  4. Step 4: Simplify right side
    415.40x = 143,041.45
  5. Step 5: Solve for x
    x = 143,041.45/415.40
  6. Step 6: Final answer
    x = 344.35

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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.