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Finding the Fourth Proportional to 586.69, 809.77 and 365.71

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Solution

The fourth proportional to 586.69, 809.77 and 365.71 is: 504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.69 : 809.77 = 365.71 : x
  2. Step 2: Convert to fraction form
    586.69/809.77 = 365.71/x
  3. Step 3: Cross multiply
    586.69x = 809.77 × 365.71
  4. Step 4: Simplify right side
    586.69x = 296,138.05
  5. Step 5: Solve for x
    x = 296,138.05/586.69
  6. Step 6: Final answer
    x = 504.76

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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.