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Finding the Fourth Proportional to 659.76, 990.24 and 335.37

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Solution

The fourth proportional to 659.76, 990.24 and 335.37 is: 503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 990.24 = 335.37 : x
  2. Step 2: Convert to fraction form
    659.76/990.24 = 335.37/x
  3. Step 3: Cross multiply
    659.76x = 990.24 × 335.37
  4. Step 4: Simplify right side
    659.76x = 332,096.79
  5. Step 5: Solve for x
    x = 332,096.79/659.76
  6. Step 6: Final answer
    x = 503.36

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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.