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Finding the Fourth Proportional to 357.74, 493.46 and 219.50

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Solution

The fourth proportional to 357.74, 493.46 and 219.50 is: 302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.74 : 493.46 = 219.50 : x
  2. Step 2: Convert to fraction form
    357.74/493.46 = 219.50/x
  3. Step 3: Cross multiply
    357.74x = 493.46 × 219.50
  4. Step 4: Simplify right side
    357.74x = 108,314.47
  5. Step 5: Solve for x
    x = 108,314.47/357.74
  6. Step 6: Final answer
    x = 302.77

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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.