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Finding the Fourth Proportional to 357.44, 493.14 and 210.04

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Solution

The fourth proportional to 357.44, 493.14 and 210.04 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 493.14 = 210.04 : x
  2. Step 2: Convert to fraction form
    357.44/493.14 = 210.04/x
  3. Step 3: Cross multiply
    357.44x = 493.14 × 210.04
  4. Step 4: Simplify right side
    357.44x = 103,579.13
  5. Step 5: Solve for x
    x = 103,579.13/357.44
  6. Step 6: Final answer
    x = 289.78

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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.