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Finding the Fourth Proportional to 323.56, 487.78 and 302.68

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Solution

The fourth proportional to 323.56, 487.78 and 302.68 is: 456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.56 : 487.78 = 302.68 : x
  2. Step 2: Convert to fraction form
    323.56/487.78 = 302.68/x
  3. Step 3: Cross multiply
    323.56x = 487.78 × 302.68
  4. Step 4: Simplify right side
    323.56x = 147,641.25
  5. Step 5: Solve for x
    x = 147,641.25/323.56
  6. Step 6: Final answer
    x = 456.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.