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Finding the Fourth Proportional to 333.61, 460.61 and 202.85

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Solution

The fourth proportional to 333.61, 460.61 and 202.85 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.61 : 460.61 = 202.85 : x
  2. Step 2: Convert to fraction form
    333.61/460.61 = 202.85/x
  3. Step 3: Cross multiply
    333.61x = 460.61 × 202.85
  4. Step 4: Simplify right side
    333.61x = 93,432.94
  5. Step 5: Solve for x
    x = 93,432.94/333.61
  6. Step 6: Final answer
    x = 280.07

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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.