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Finding the Fourth Proportional to 357.14, 490.21 and 342.11

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Solution

The fourth proportional to 357.14, 490.21 and 342.11 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.14 : 490.21 = 342.11 : x
  2. Step 2: Convert to fraction form
    357.14/490.21 = 342.11/x
  3. Step 3: Cross multiply
    357.14x = 490.21 × 342.11
  4. Step 4: Simplify right side
    357.14x = 167,705.74
  5. Step 5: Solve for x
    x = 167,705.74/357.14
  6. Step 6: Final answer
    x = 469.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.