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Finding the Fourth Proportional to 534.95, 738.54 and 367.10

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Solution

The fourth proportional to 534.95, 738.54 and 367.10 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.95 : 738.54 = 367.10 : x
  2. Step 2: Convert to fraction form
    534.95/738.54 = 367.10/x
  3. Step 3: Cross multiply
    534.95x = 738.54 × 367.10
  4. Step 4: Simplify right side
    534.95x = 271,114.34
  5. Step 5: Solve for x
    x = 271,114.34/534.95
  6. Step 6: Final answer
    x = 506.81

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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.