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Finding the Fourth Proportional to 580.42, 871.09 and 302.94

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Solution

The fourth proportional to 580.42, 871.09 and 302.94 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.42 : 871.09 = 302.94 : x
  2. Step 2: Convert to fraction form
    580.42/871.09 = 302.94/x
  3. Step 3: Cross multiply
    580.42x = 871.09 × 302.94
  4. Step 4: Simplify right side
    580.42x = 263,887.25
  5. Step 5: Solve for x
    x = 263,887.25/580.42
  6. Step 6: Final answer
    x = 454.65

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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.