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Finding the Fourth Proportional to 357.99, 494.04 and 210.63

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Solution

The fourth proportional to 357.99, 494.04 and 210.63 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.99 : 494.04 = 210.63 : x
  2. Step 2: Convert to fraction form
    357.99/494.04 = 210.63/x
  3. Step 3: Cross multiply
    357.99x = 494.04 × 210.63
  4. Step 4: Simplify right side
    357.99x = 104,059.65
  5. Step 5: Solve for x
    x = 104,059.65/357.99
  6. Step 6: Final answer
    x = 290.68

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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.