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Finding the Fourth Proportional to 580.98, 871.59 and 288.64

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Solution

The fourth proportional to 580.98, 871.59 and 288.64 is: 433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 871.59 = 288.64 : x
  2. Step 2: Convert to fraction form
    580.98/871.59 = 288.64/x
  3. Step 3: Cross multiply
    580.98x = 871.59 × 288.64
  4. Step 4: Simplify right side
    580.98x = 251,573.01
  5. Step 5: Solve for x
    x = 251,573.01/580.98
  6. Step 6: Final answer
    x = 433.02

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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.