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Finding the Fourth Proportional to 322.02, 481.86 and 275.76

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Solution

The fourth proportional to 322.02, 481.86 and 275.76 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 481.86 = 275.76 : x
  2. Step 2: Convert to fraction form
    322.02/481.86 = 275.76/x
  3. Step 3: Cross multiply
    322.02x = 481.86 × 275.76
  4. Step 4: Simplify right side
    322.02x = 132,877.71
  5. Step 5: Solve for x
    x = 132,877.71/322.02
  6. Step 6: Final answer
    x = 412.64

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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.