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Finding the Fourth Proportional to 580.67, 871.16 and 336.77

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Solution

The fourth proportional to 580.67, 871.16 and 336.77 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 871.16 = 336.77 : x
  2. Step 2: Convert to fraction form
    580.67/871.16 = 336.77/x
  3. Step 3: Cross multiply
    580.67x = 871.16 × 336.77
  4. Step 4: Simplify right side
    580.67x = 293,374.51
  5. Step 5: Solve for x
    x = 293,374.51/580.67
  6. Step 6: Final answer
    x = 505.24

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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.