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Finding the Fourth Proportional to 358.94, 494.96 and 265.87

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Solution

The fourth proportional to 358.94, 494.96 and 265.87 is: 366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.94 : 494.96 = 265.87 : x
  2. Step 2: Convert to fraction form
    358.94/494.96 = 265.87/x
  3. Step 3: Cross multiply
    358.94x = 494.96 × 265.87
  4. Step 4: Simplify right side
    358.94x = 131,593.02
  5. Step 5: Solve for x
    x = 131,593.02/358.94
  6. Step 6: Final answer
    x = 366.62

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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.