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Finding the Fourth Proportional to 659.36, 987.72 and 333.68

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Solution

The fourth proportional to 659.36, 987.72 and 333.68 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 987.72 = 333.68 : x
  2. Step 2: Convert to fraction form
    659.36/987.72 = 333.68/x
  3. Step 3: Cross multiply
    659.36x = 987.72 × 333.68
  4. Step 4: Simplify right side
    659.36x = 329,582.41
  5. Step 5: Solve for x
    x = 329,582.41/659.36
  6. Step 6: Final answer
    x = 499.85

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