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Finding the Fourth Proportional to 326.76, 488.28 and 319.47

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Solution

The fourth proportional to 326.76, 488.28 and 319.47 is: 477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.76 : 488.28 = 319.47 : x
  2. Step 2: Convert to fraction form
    326.76/488.28 = 319.47/x
  3. Step 3: Cross multiply
    326.76x = 488.28 × 319.47
  4. Step 4: Simplify right side
    326.76x = 155,990.81
  5. Step 5: Solve for x
    x = 155,990.81/326.76
  6. Step 6: Final answer
    x = 477.39

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Why These Related Problems?

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