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Finding the Fourth Proportional to 580.16, 871.46 and 564.82

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Solution

The fourth proportional to 580.16, 871.46 and 564.82 is: 848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 871.46 = 564.82 : x
  2. Step 2: Convert to fraction form
    580.16/871.46 = 564.82/x
  3. Step 3: Cross multiply
    580.16x = 871.46 × 564.82
  4. Step 4: Simplify right side
    580.16x = 492,220.05
  5. Step 5: Solve for x
    x = 492,220.05/580.16
  6. Step 6: Final answer
    x = 848.42

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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.