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Finding the Fourth Proportional to 357.99, 494.11 and 288.51

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Solution

The fourth proportional to 357.99, 494.11 and 288.51 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.99 : 494.11 = 288.51 : x
  2. Step 2: Convert to fraction form
    357.99/494.11 = 288.51/x
  3. Step 3: Cross multiply
    357.99x = 494.11 × 288.51
  4. Step 4: Simplify right side
    357.99x = 142,554.95
  5. Step 5: Solve for x
    x = 142,554.95/357.99
  6. Step 6: Final answer
    x = 398.21

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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.