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Finding the Fourth Proportional to 586.98, 809.97 and 365.85

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Solution

The fourth proportional to 586.98, 809.97 and 365.85 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 809.97 = 365.85 : x
  2. Step 2: Convert to fraction form
    586.98/809.97 = 365.85/x
  3. Step 3: Cross multiply
    586.98x = 809.97 × 365.85
  4. Step 4: Simplify right side
    586.98x = 296,327.52
  5. Step 5: Solve for x
    x = 296,327.52/586.98
  6. Step 6: Final answer
    x = 504.83

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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.