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Finding the Fourth Proportional to 580.08, 868.32 and 362.64

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Solution

The fourth proportional to 580.08, 868.32 and 362.64 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 868.32 = 362.64 : x
  2. Step 2: Convert to fraction form
    580.08/868.32 = 362.64/x
  3. Step 3: Cross multiply
    580.08x = 868.32 × 362.64
  4. Step 4: Simplify right side
    580.08x = 314,887.56
  5. Step 5: Solve for x
    x = 314,887.56/580.08
  6. Step 6: Final answer
    x = 542.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.