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Finding the Fourth Proportional to 586.45, 809.46 and 365.27

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Solution

The fourth proportional to 586.45, 809.46 and 365.27 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.45 : 809.46 = 365.27 : x
  2. Step 2: Convert to fraction form
    586.45/809.46 = 365.27/x
  3. Step 3: Cross multiply
    586.45x = 809.46 × 365.27
  4. Step 4: Simplify right side
    586.45x = 295,668.52
  5. Step 5: Solve for x
    x = 295,668.52/586.45
  6. Step 6: Final answer
    x = 504.17

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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.