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Finding the Fourth Proportional to 415.46, 573.24 and 268.07

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Solution

The fourth proportional to 415.46, 573.24 and 268.07 is: 369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 573.24 = 268.07 : x
  2. Step 2: Convert to fraction form
    415.46/573.24 = 268.07/x
  3. Step 3: Cross multiply
    415.46x = 573.24 × 268.07
  4. Step 4: Simplify right side
    415.46x = 153,665.58
  5. Step 5: Solve for x
    x = 153,665.58/415.46
  6. Step 6: Final answer
    x = 369.87

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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.