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Finding the Fourth Proportional to 415.33, 573.38 and 268.11

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Solution

The fourth proportional to 415.33, 573.38 and 268.11 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.33 : 573.38 = 268.11 : x
  2. Step 2: Convert to fraction form
    415.33/573.38 = 268.11/x
  3. Step 3: Cross multiply
    415.33x = 573.38 × 268.11
  4. Step 4: Simplify right side
    415.33x = 153,728.58
  5. Step 5: Solve for x
    x = 153,728.58/415.33
  6. Step 6: Final answer
    x = 370.14

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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.