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Finding the Fourth Proportional to 335.36, 501.92 and 319.36

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Solution

The fourth proportional to 335.36, 501.92 and 319.36 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.36 : 501.92 = 319.36 : x
  2. Step 2: Convert to fraction form
    335.36/501.92 = 319.36/x
  3. Step 3: Cross multiply
    335.36x = 501.92 × 319.36
  4. Step 4: Simplify right side
    335.36x = 160,293.17
  5. Step 5: Solve for x
    x = 160,293.17/335.36
  6. Step 6: Final answer
    x = 477.97

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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.