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Finding the Fourth Proportional to 415.44, 572.00 and 353.18

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Solution

The fourth proportional to 415.44, 572.00 and 353.18 is: 486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 572.00 = 353.18 : x
  2. Step 2: Convert to fraction form
    415.44/572.00 = 353.18/x
  3. Step 3: Cross multiply
    415.44x = 572.00 × 353.18
  4. Step 4: Simplify right side
    415.44x = 202,014.33
  5. Step 5: Solve for x
    x = 202,014.33/415.44
  6. Step 6: Final answer
    x = 486.27

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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.