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Finding the Fourth Proportional to 358.99, 494.74 and 280.19

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Solution

The fourth proportional to 358.99, 494.74 and 280.19 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.99 : 494.74 = 280.19 : x
  2. Step 2: Convert to fraction form
    358.99/494.74 = 280.19/x
  3. Step 3: Cross multiply
    358.99x = 494.74 × 280.19
  4. Step 4: Simplify right side
    358.99x = 138,617.33
  5. Step 5: Solve for x
    x = 138,617.33/358.99
  6. Step 6: Final answer
    x = 386.13

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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.