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Finding the Fourth Proportional to 579.60, 865.37 and 520.64

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Solution

The fourth proportional to 579.60, 865.37 and 520.64 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 865.37 = 520.64 : x
  2. Step 2: Convert to fraction form
    579.60/865.37 = 520.64/x
  3. Step 3: Cross multiply
    579.60x = 865.37 × 520.64
  4. Step 4: Simplify right side
    579.60x = 450,546.24
  5. Step 5: Solve for x
    x = 450,546.24/579.60
  6. Step 6: Final answer
    x = 777.34

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Why These Related Problems?

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