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Finding the Fourth Proportional to 580.02, 865.53 and 518.67

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Solution

The fourth proportional to 580.02, 865.53 and 518.67 is: 773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 865.53 = 518.67 : x
  2. Step 2: Convert to fraction form
    580.02/865.53 = 518.67/x
  3. Step 3: Cross multiply
    580.02x = 865.53 × 518.67
  4. Step 4: Simplify right side
    580.02x = 448,924.45
  5. Step 5: Solve for x
    x = 448,924.45/580.02
  6. Step 6: Final answer
    x = 773.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.