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Finding the Fourth Proportional to 586.78, 809.83 and 365.80

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Solution

The fourth proportional to 586.78, 809.83 and 365.80 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.78 : 809.83 = 365.80 : x
  2. Step 2: Convert to fraction form
    586.78/809.83 = 365.80/x
  3. Step 3: Cross multiply
    586.78x = 809.83 × 365.80
  4. Step 4: Simplify right side
    586.78x = 296,235.77
  5. Step 5: Solve for x
    x = 296,235.77/586.78
  6. Step 6: Final answer
    x = 504.85

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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.