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Finding the Fourth Proportional to 586.08, 871.74 and 584.10

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Solution

The fourth proportional to 586.08, 871.74 and 584.10 is: 868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 871.74 = 584.10 : x
  2. Step 2: Convert to fraction form
    586.08/871.74 = 584.10/x
  3. Step 3: Cross multiply
    586.08x = 871.74 × 584.10
  4. Step 4: Simplify right side
    586.08x = 509,183.33
  5. Step 5: Solve for x
    x = 509,183.33/586.08
  6. Step 6: Final answer
    x = 868.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.