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Finding the Fourth Proportional to 580.89, 800.95 and 415.05

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Solution

The fourth proportional to 580.89, 800.95 and 415.05 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 800.95 = 415.05 : x
  2. Step 2: Convert to fraction form
    580.89/800.95 = 415.05/x
  3. Step 3: Cross multiply
    580.89x = 800.95 × 415.05
  4. Step 4: Simplify right side
    580.89x = 332,434.30
  5. Step 5: Solve for x
    x = 332,434.30/580.89
  6. Step 6: Final answer
    x = 572.28

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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.