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Finding the Fourth Proportional to 534.41, 737.55 and 385

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Solution

The fourth proportional to 534.41, 737.55 and 385 is: 531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.41 : 737.55 = 385 : x
  2. Step 2: Convert to fraction form
    534.41/737.55 = 385/x
  3. Step 3: Cross multiply
    534.41x = 737.55 × 385
  4. Step 4: Simplify right side
    534.41x = 283,956.75
  5. Step 5: Solve for x
    x = 283,956.75/534.41
  6. Step 6: Final answer
    x = 531.35

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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.