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Finding the Fourth Proportional to 580.48, 868.83 and 545.20

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Solution

The fourth proportional to 580.48, 868.83 and 545.20 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 868.83 = 545.20 : x
  2. Step 2: Convert to fraction form
    580.48/868.83 = 545.20/x
  3. Step 3: Cross multiply
    580.48x = 868.83 × 545.20
  4. Step 4: Simplify right side
    580.48x = 473,686.12
  5. Step 5: Solve for x
    x = 473,686.12/580.48
  6. Step 6: Final answer
    x = 816.02

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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.