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Finding the Fourth Proportional to 534.80, 738.02 and 325

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Solution

The fourth proportional to 534.80, 738.02 and 325 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.80 : 738.02 = 325 : x
  2. Step 2: Convert to fraction form
    534.80/738.02 = 325/x
  3. Step 3: Cross multiply
    534.80x = 738.02 × 325
  4. Step 4: Simplify right side
    534.80x = 239,856.50
  5. Step 5: Solve for x
    x = 239,856.50/534.80
  6. Step 6: Final answer
    x = 448.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.