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Finding the Fourth Proportional to 580.46, 873.81 and 529.43

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Solution

The fourth proportional to 580.46, 873.81 and 529.43 is: 796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.46 : 873.81 = 529.43 : x
  2. Step 2: Convert to fraction form
    580.46/873.81 = 529.43/x
  3. Step 3: Cross multiply
    580.46x = 873.81 × 529.43
  4. Step 4: Simplify right side
    580.46x = 462,616.86
  5. Step 5: Solve for x
    x = 462,616.86/580.46
  6. Step 6: Final answer
    x = 796.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.