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Finding the Fourth Proportional to 503.96, 695.41 and 282.87

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Solution

The fourth proportional to 503.96, 695.41 and 282.87 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.96 : 695.41 = 282.87 : x
  2. Step 2: Convert to fraction form
    503.96/695.41 = 282.87/x
  3. Step 3: Cross multiply
    503.96x = 695.41 × 282.87
  4. Step 4: Simplify right side
    503.96x = 196,708.73
  5. Step 5: Solve for x
    x = 196,708.73/503.96
  6. Step 6: Final answer
    x = 390.33

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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.