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Finding the Fourth Proportional to 586.55, 809.60 and 365.37

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Solution

The fourth proportional to 586.55, 809.60 and 365.37 is: 504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.55 : 809.60 = 365.37 : x
  2. Step 2: Convert to fraction form
    586.55/809.60 = 365.37/x
  3. Step 3: Cross multiply
    586.55x = 809.60 × 365.37
  4. Step 4: Simplify right side
    586.55x = 295,797.68
  5. Step 5: Solve for x
    x = 295,797.68/586.55
  6. Step 6: Final answer
    x = 504.30

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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.