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Finding the Fourth Proportional to 415.53, 573.66 and 268.29

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Solution

The fourth proportional to 415.53, 573.66 and 268.29 is: 370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 573.66 = 268.29 : x
  2. Step 2: Convert to fraction form
    415.53/573.66 = 268.29/x
  3. Step 3: Cross multiply
    415.53x = 573.66 × 268.29
  4. Step 4: Simplify right side
    415.53x = 153,907.24
  5. Step 5: Solve for x
    x = 153,907.24/415.53
  6. Step 6: Final answer
    x = 370.39

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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.