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Finding the Fourth Proportional to 415.09, 572.97 and 365.68

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Solution

The fourth proportional to 415.09, 572.97 and 365.68 is: 504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.09 : 572.97 = 365.68 : x
  2. Step 2: Convert to fraction form
    415.09/572.97 = 365.68/x
  3. Step 3: Cross multiply
    415.09x = 572.97 × 365.68
  4. Step 4: Simplify right side
    415.09x = 209,523.67
  5. Step 5: Solve for x
    x = 209,523.67/415.09
  6. Step 6: Final answer
    x = 504.77

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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.