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Finding the Fourth Proportional to 580.96, 869.82 and 483.76

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Solution

The fourth proportional to 580.96, 869.82 and 483.76 is: 724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 869.82 = 483.76 : x
  2. Step 2: Convert to fraction form
    580.96/869.82 = 483.76/x
  3. Step 3: Cross multiply
    580.96x = 869.82 × 483.76
  4. Step 4: Simplify right side
    580.96x = 420,784.12
  5. Step 5: Solve for x
    x = 420,784.12/580.96
  6. Step 6: Final answer
    x = 724.29

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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.