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Finding the Fourth Proportional to 320.96, 479.28 and 313.28

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Solution

The fourth proportional to 320.96, 479.28 and 313.28 is: 467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 479.28 = 313.28 : x
  2. Step 2: Convert to fraction form
    320.96/479.28 = 313.28/x
  3. Step 3: Cross multiply
    320.96x = 479.28 × 313.28
  4. Step 4: Simplify right side
    320.96x = 150,148.84
  5. Step 5: Solve for x
    x = 150,148.84/320.96
  6. Step 6: Final answer
    x = 467.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.