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Finding the Fourth Proportional to 333.70, 460.42 and 202.68

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Solution

The fourth proportional to 333.70, 460.42 and 202.68 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 460.42 = 202.68 : x
  2. Step 2: Convert to fraction form
    333.70/460.42 = 202.68/x
  3. Step 3: Cross multiply
    333.70x = 460.42 × 202.68
  4. Step 4: Simplify right side
    333.70x = 93,317.93
  5. Step 5: Solve for x
    x = 93,317.93/333.70
  6. Step 6: Final answer
    x = 279.65

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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.