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Finding the Fourth Proportional to 333.60, 499.92 and 261.84

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Solution

The fourth proportional to 333.60, 499.92 and 261.84 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 499.92 = 261.84 : x
  2. Step 2: Convert to fraction form
    333.60/499.92 = 261.84/x
  3. Step 3: Cross multiply
    333.60x = 499.92 × 261.84
  4. Step 4: Simplify right side
    333.60x = 130,899.05
  5. Step 5: Solve for x
    x = 130,899.05/333.60
  6. Step 6: Final answer
    x = 392.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.