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Finding the Fourth Proportional to 580.89, 871.36 and 210.77

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Solution

The fourth proportional to 580.89, 871.36 and 210.77 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 871.36 = 210.77 : x
  2. Step 2: Convert to fraction form
    580.89/871.36 = 210.77/x
  3. Step 3: Cross multiply
    580.89x = 871.36 × 210.77
  4. Step 4: Simplify right side
    580.89x = 183,654.93
  5. Step 5: Solve for x
    x = 183,654.93/580.89
  6. Step 6: Final answer
    x = 316.16

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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.