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Finding the Fourth Proportional to 586.27, 809.09 and 389.65

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Solution

The fourth proportional to 586.27, 809.09 and 389.65 is: 537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.27 : 809.09 = 389.65 : x
  2. Step 2: Convert to fraction form
    586.27/809.09 = 389.65/x
  3. Step 3: Cross multiply
    586.27x = 809.09 × 389.65
  4. Step 4: Simplify right side
    586.27x = 315,261.92
  5. Step 5: Solve for x
    x = 315,261.92/586.27
  6. Step 6: Final answer
    x = 537.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.