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Finding the Fourth Proportional to 415.74, 573.39 and 291.36

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Solution

The fourth proportional to 415.74, 573.39 and 291.36 is: 401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 573.39 = 291.36 : x
  2. Step 2: Convert to fraction form
    415.74/573.39 = 291.36/x
  3. Step 3: Cross multiply
    415.74x = 573.39 × 291.36
  4. Step 4: Simplify right side
    415.74x = 167,062.91
  5. Step 5: Solve for x
    x = 167,062.91/415.74
  6. Step 6: Final answer
    x = 401.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.