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Finding the Fourth Proportional to 580.72, 872.72 and 337.44

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Solution

The fourth proportional to 580.72, 872.72 and 337.44 is: 507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.72 : 872.72 = 337.44 : x
  2. Step 2: Convert to fraction form
    580.72/872.72 = 337.44/x
  3. Step 3: Cross multiply
    580.72x = 872.72 × 337.44
  4. Step 4: Simplify right side
    580.72x = 294,490.64
  5. Step 5: Solve for x
    x = 294,490.64/580.72
  6. Step 6: Final answer
    x = 507.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.