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Finding the Fourth Proportional to 534.77, 738.05 and 325.02

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Solution

The fourth proportional to 534.77, 738.05 and 325.02 is: 448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 738.05 = 325.02 : x
  2. Step 2: Convert to fraction form
    534.77/738.05 = 325.02/x
  3. Step 3: Cross multiply
    534.77x = 738.05 × 325.02
  4. Step 4: Simplify right side
    534.77x = 239,879.39
  5. Step 5: Solve for x
    x = 239,879.39/534.77
  6. Step 6: Final answer
    x = 448.57

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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.