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Finding the Fourth Proportional to 358.99, 494.80 and 299.75

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Solution

The fourth proportional to 358.99, 494.80 and 299.75 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.99 : 494.80 = 299.75 : x
  2. Step 2: Convert to fraction form
    358.99/494.80 = 299.75/x
  3. Step 3: Cross multiply
    358.99x = 494.80 × 299.75
  4. Step 4: Simplify right side
    358.99x = 148,313.08
  5. Step 5: Solve for x
    x = 148,313.08/358.99
  6. Step 6: Final answer
    x = 413.14

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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.