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Finding the Fourth Proportional to 586.15, 809.27 and 365.41

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Solution

The fourth proportional to 586.15, 809.27 and 365.41 is: 504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.15 : 809.27 = 365.41 : x
  2. Step 2: Convert to fraction form
    586.15/809.27 = 365.41/x
  3. Step 3: Cross multiply
    586.15x = 809.27 × 365.41
  4. Step 4: Simplify right side
    586.15x = 295,715.35
  5. Step 5: Solve for x
    x = 295,715.35/586.15
  6. Step 6: Final answer
    x = 504.50

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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.