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Finding the Fourth Proportional to 415.33, 572.74 and 321.91

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Solution

The fourth proportional to 415.33, 572.74 and 321.91 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.33 : 572.74 = 321.91 : x
  2. Step 2: Convert to fraction form
    415.33/572.74 = 321.91/x
  3. Step 3: Cross multiply
    415.33x = 572.74 × 321.91
  4. Step 4: Simplify right side
    415.33x = 184,368.50
  5. Step 5: Solve for x
    x = 184,368.50/415.33
  6. Step 6: Final answer
    x = 443.91

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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.