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Finding the Fourth Proportional to 503.85, 695.34 and 379.28

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Solution

The fourth proportional to 503.85, 695.34 and 379.28 is: 523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.85 : 695.34 = 379.28 : x
  2. Step 2: Convert to fraction form
    503.85/695.34 = 379.28/x
  3. Step 3: Cross multiply
    503.85x = 695.34 × 379.28
  4. Step 4: Simplify right side
    503.85x = 263,730.29
  5. Step 5: Solve for x
    x = 263,730.29/503.85
  6. Step 6: Final answer
    x = 523.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.