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Finding the Fourth Proportional to 534.92, 738.02 and 322.14

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Solution

The fourth proportional to 534.92, 738.02 and 322.14 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.92 : 738.02 = 322.14 : x
  2. Step 2: Convert to fraction form
    534.92/738.02 = 322.14/x
  3. Step 3: Cross multiply
    534.92x = 738.02 × 322.14
  4. Step 4: Simplify right side
    534.92x = 237,745.76
  5. Step 5: Solve for x
    x = 237,745.76/534.92
  6. Step 6: Final answer
    x = 444.45

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