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Finding the Fourth Proportional to 585.50, 807.92 and 364.37

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Solution

The fourth proportional to 585.50, 807.92 and 364.37 is: 502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 807.92 = 364.37 : x
  2. Step 2: Convert to fraction form
    585.50/807.92 = 364.37/x
  3. Step 3: Cross multiply
    585.50x = 807.92 × 364.37
  4. Step 4: Simplify right side
    585.50x = 294,375.95
  5. Step 5: Solve for x
    x = 294,375.95/585.50
  6. Step 6: Final answer
    x = 502.78

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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.