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Finding the Fourth Proportional to 503.87, 693.27 and 492.21

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Solution

The fourth proportional to 503.87, 693.27 and 492.21 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 693.27 = 492.21 : x
  2. Step 2: Convert to fraction form
    503.87/693.27 = 492.21/x
  3. Step 3: Cross multiply
    503.87x = 693.27 × 492.21
  4. Step 4: Simplify right side
    503.87x = 341,234.43
  5. Step 5: Solve for x
    x = 341,234.43/503.87
  6. Step 6: Final answer
    x = 677.23

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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.